{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算方法实验题\n",
    "\n",
    "陆以凡 021020910054"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "push!(LOAD_PATH, \".\")\n",
    "import HwMath\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ployint_1 (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 等距多项式插值\n",
    "function ployint_1()\n",
    "    A = zeros(1,11)\n",
    "    xo = -1:0.2:1\n",
    "    sum = 0\n",
    "    for i in 1:1:11\n",
    "        A[i] = HwMath.m_int_num(x->HwMath.m_l(x,i,xo),-1,1,n=800)\n",
    "        sum += A[i]*HwMath.m_f(-1+0.2*(i-1))\n",
    "    end\n",
    "    println(A)\n",
    "        \n",
    "    println(sum) # 插值积分公式的计算值\n",
    "    yo = HwMath.m_f.(xo)\n",
    "    # println(HwMath.m_int_num(x->HwMath.m_L(x,xo),-1,1,n=600))\n",
    "    # println(HwMath.m_int_num(x->HwMath.m_f(x), -1, 1, n=800)) # 复化simpson分600段的积分值\n",
    "    println(0.2*2*atan(5)) # 原函数方法\n",
    "    err = 0.2*2*atan(5)-sum\n",
    "    println(\"err=I-I_{n}=\",err)\n",
    "    println(\"相对误差:\",err/(0.2*2*atan(5)))\n",
    "    ##验证代数精度\n",
    "    println(\"代数精度m\\t int{L(x)} - int{x^m} = (1+(-1)^(m+1))/(m+1)\")\n",
    "    \n",
    "    for i in 9:1:15\n",
    "        sum = 0\n",
    "        # calc = HwMath.m_int_num(x->HwMath.m_L(x,xo,x->x.^(i-1)),-1,1,n=800)\n",
    "        for j in 1:1:11\n",
    "            sum += A[j]*xo[j]^(i-1) # 插值积分公式对基函数积分的计算\n",
    "        end\n",
    "        println(i-1,\"\\t\",sum-(1-(-1)^(i))/(i))\n",
    "    end\n",
    "\n",
    "    xx = -1:0.005:1\n",
    "    yy_ori = HwMath.m_f(xx)\n",
    "    # yy_int =(x->HwMath.m_L(x,xo)).(xx)\n",
    "    yy_int =HwMath.m_L(xx,xo,HwMath.m_f)\n",
    "    return xo, yo, xx, yy_ori, yy_int, A\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 等距多项式插值\n",
    "## 插值函数及其误差\n",
    "### 函数图像对比\n",
    "在区间[-1,1]上取$x_k=-1+\\frac{2}{n}k, k=0,1,2,...,n, n=10$，对函数$f(x)=\\frac{1}{1+25x^2}$作多项式插值，是等距的多项式插值，插值函数和$f(x)$的图像由以下代码作出，见下图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.05366829675071363 0.3550718826521843 -0.1620871405463286 0.9098925749377762 -0.8703102427036066 1.4275292578185204 -0.8703102427036064 0.9098925749377753 -0.16208714054632886 0.35507188265218453 0.05366829675071353]\n",
      "0.9346601101650072\n",
      "0.5493603067780064\n",
      "err=I-I_{n}=-0.38529980338700076\n",
      "相对误差:-0.7013608348349389\n",
      "代数精度m\t int{L(x)} - int{x^m} = (1+(-1)^(m+1))/(m+1)\n",
      "8\t9.114570209689532e-12\n",
      "9\t-6.938893903907228e-17\n",
      "10\t1.95311267159326e-11\n",
      "11\t-8.326672684688674e-17\n",
      "12\t0.001616014564405882\n",
      "13\t-8.326672684688674e-17\n",
      "14\t0.004986561459674799\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip3600\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip3600)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip3601\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip3600)\" d=\"\nM215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip3602\">\n    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  276.235,1425.62 276.235,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  780.245,1425.62 780.245,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,1235.84 2352.76,1235.84 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,942.424 2352.76,942.424 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,649.005 2352.76,649.005 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,355.585 2352.76,355.585 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,62.1661 2352.76,62.1661 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 215.754,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  276.235,1425.62 276.235,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  780.245,1425.62 780.245,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1235.84 241.398,1235.84 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,942.424 241.398,942.424 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,649.005 241.398,649.005 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,355.585 241.398,355.585 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,62.1661 241.398,62.1661 \n  \"/>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1253.34)\" x=\"191.754\" y=\"1253.34\">0.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 959.924)\" x=\"191.754\" y=\"959.924\">0.5</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 666.505)\" x=\"191.754\" y=\"666.505\">1.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 373.085)\" x=\"191.754\" y=\"373.085\">1.5</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 79.6661)\" x=\"191.754\" y=\"79.6661\">2.0</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1213.27 281.275,1213.05 286.315,1212.83 291.356,1212.61 296.396,1212.38 301.436,1212.15 306.476,1211.91 311.516,1211.67 316.556,1211.43 321.596,1211.19 \n  326.636,1210.94 331.676,1210.68 336.716,1210.43 341.757,1210.17 346.797,1209.9 351.837,1209.63 356.877,1209.36 361.917,1209.08 366.957,1208.8 371.997,1208.52 \n  377.037,1208.23 382.077,1207.93 387.117,1207.63 392.158,1207.33 397.198,1207.02 402.238,1206.71 407.278,1206.39 412.318,1206.06 417.358,1205.73 422.398,1205.4 \n  427.438,1205.06 432.478,1204.71 437.518,1204.36 442.559,1204 447.599,1203.64 452.639,1203.27 457.679,1202.89 462.719,1202.51 467.759,1202.12 472.799,1201.73 \n  477.839,1201.32 482.879,1200.91 487.919,1200.5 492.96,1200.07 498,1199.64 503.04,1199.2 508.08,1198.75 513.12,1198.3 518.16,1197.84 523.2,1197.36 \n  528.24,1196.88 533.28,1196.39 538.32,1195.89 543.36,1195.39 548.401,1194.87 553.441,1194.34 558.481,1193.81 563.521,1193.26 568.561,1192.7 573.601,1192.13 \n  578.641,1191.55 583.681,1190.96 588.721,1190.36 593.761,1189.75 598.802,1189.12 603.842,1188.48 608.882,1187.83 613.922,1187.17 618.962,1186.49 624.002,1185.8 \n  629.042,1185.09 634.082,1184.37 639.122,1183.63 644.162,1182.88 649.203,1182.12 654.243,1181.33 659.283,1180.53 664.323,1179.72 669.363,1178.88 674.403,1178.03 \n  679.443,1177.16 684.483,1176.27 689.523,1175.36 694.563,1174.43 699.604,1173.48 704.644,1172.51 709.684,1171.51 714.724,1170.5 719.764,1169.46 724.804,1168.4 \n  729.844,1167.31 734.884,1166.19 739.924,1165.05 744.964,1163.89 750.005,1162.69 755.045,1161.47 760.085,1160.22 765.125,1158.94 770.165,1157.62 775.205,1156.28 \n  780.245,1154.9 785.285,1153.49 790.325,1152.04 795.365,1150.55 800.406,1149.03 805.446,1147.47 810.486,1145.87 815.526,1144.23 820.566,1142.55 825.606,1140.82 \n  830.646,1139.04 835.686,1137.22 840.726,1135.36 845.766,1133.44 850.807,1131.47 855.847,1129.45 860.887,1127.37 865.927,1125.24 870.967,1123.04 876.007,1120.79 \n  881.047,1118.48 886.087,1116.1 891.127,1113.65 896.167,1111.13 901.207,1108.55 906.248,1105.89 911.288,1103.15 916.328,1100.33 921.368,1097.44 926.408,1094.46 \n  931.448,1091.39 936.488,1088.23 941.528,1084.98 946.568,1081.64 951.608,1078.2 956.649,1074.65 961.689,1071 966.729,1067.24 971.769,1063.37 976.809,1059.38 \n  981.849,1055.28 986.889,1051.05 991.929,1046.69 996.969,1042.21 1002.01,1037.59 1007.05,1032.83 1012.09,1027.93 1017.13,1022.88 1022.17,1017.69 1027.21,1012.34 \n  1032.25,1006.83 1037.29,1001.17 1042.33,995.335 1047.37,989.337 1052.41,983.168 1057.45,976.825 1062.49,970.305 1067.53,963.607 1072.57,956.728 1077.61,949.668 \n  1082.65,942.424 1087.69,934.997 1092.73,927.386 1097.77,919.595 1102.81,911.623 1107.85,903.474 1112.89,895.153 1117.93,886.664 1122.97,878.015 1128.01,869.212 \n  1133.05,860.266 1138.09,851.188 1143.13,841.992 1148.17,832.691 1153.21,823.303 1158.25,813.847 1163.29,804.344 1168.33,794.818 1173.37,785.295 1178.41,775.803 \n  1183.45,766.372 1188.49,757.035 1193.53,747.828 1198.57,738.786 1203.61,729.948 1208.65,721.354 1213.69,713.047 1218.73,705.068 1223.77,697.459 1228.81,690.264 \n  1233.85,683.524 1238.89,677.282 1243.93,671.575 1248.97,666.442 1254.01,661.918 1259.05,658.033 1264.09,654.815 1269.13,652.287 1274.17,650.468 1279.21,649.371 \n  1284.25,649.005 1289.3,649.371 1294.34,650.468 1299.38,652.287 1304.42,654.815 1309.46,658.033 1314.5,661.918 1319.54,666.442 1324.58,671.575 1329.62,677.282 \n  1334.66,683.524 1339.7,690.264 1344.74,697.459 1349.78,705.068 1354.82,713.047 1359.86,721.354 1364.9,729.948 1369.94,738.786 1374.98,747.828 1380.02,757.035 \n  1385.06,766.372 1390.1,775.803 1395.14,785.295 1400.18,794.818 1405.22,804.344 1410.26,813.847 1415.3,823.303 1420.34,832.691 1425.38,841.992 1430.42,851.188 \n  1435.46,860.266 1440.5,869.212 1445.54,878.015 1450.58,886.664 1455.62,895.153 1460.66,903.474 1465.7,911.623 1470.74,919.595 1475.78,927.386 1480.82,934.997 \n  1485.86,942.424 1490.9,949.668 1495.94,956.728 1500.98,963.607 1506.02,970.305 1511.06,976.825 1516.1,983.168 1521.14,989.337 1526.18,995.335 1531.22,1001.17 \n  1536.26,1006.83 1541.3,1012.34 1546.34,1017.69 1551.38,1022.88 1556.42,1027.93 1561.46,1032.83 1566.5,1037.59 1571.54,1042.21 1576.58,1046.69 1581.62,1051.05 \n  1586.66,1055.28 1591.7,1059.38 1596.74,1063.37 1601.78,1067.24 1606.82,1071 1611.86,1074.65 1616.9,1078.2 1621.94,1081.64 1626.98,1084.98 1632.02,1088.23 \n  1637.06,1091.39 1642.1,1094.46 1647.14,1097.44 1652.18,1100.33 1657.22,1103.15 1662.26,1105.89 1667.3,1108.55 1672.34,1111.13 1677.38,1113.65 1682.42,1116.1 \n  1687.46,1118.48 1692.5,1120.79 1697.54,1123.04 1702.58,1125.24 1707.62,1127.37 1712.66,1129.45 1717.7,1131.47 1722.74,1133.44 1727.78,1135.36 1732.82,1137.22 \n  1737.86,1139.04 1742.9,1140.82 1747.94,1142.55 1752.98,1144.23 1758.02,1145.87 1763.06,1147.47 1768.1,1149.03 1773.14,1150.55 1778.18,1152.04 1783.22,1153.49 \n  1788.26,1154.9 1793.3,1156.28 1798.35,1157.62 1803.39,1158.94 1808.43,1160.22 1813.47,1161.47 1818.51,1162.69 1823.55,1163.89 1828.59,1165.05 1833.63,1166.19 \n  1838.67,1167.31 1843.71,1168.4 1848.75,1169.46 1853.79,1170.5 1858.83,1171.51 1863.87,1172.51 1868.91,1173.48 1873.95,1174.43 1878.99,1175.36 1884.03,1176.27 \n  1889.07,1177.16 1894.11,1178.03 1899.15,1178.88 1904.19,1179.72 1909.23,1180.53 1914.27,1181.33 1919.31,1182.12 1924.35,1182.88 1929.39,1183.63 1934.43,1184.37 \n  1939.47,1185.09 1944.51,1185.8 1949.55,1186.49 1954.59,1187.17 1959.63,1187.83 1964.67,1188.48 1969.71,1189.12 1974.75,1189.75 1979.79,1190.36 1984.83,1190.96 \n  1989.87,1191.55 1994.91,1192.13 1999.95,1192.7 2004.99,1193.26 2010.03,1193.81 2015.07,1194.34 2020.11,1194.87 2025.15,1195.39 2030.19,1195.89 2035.23,1196.39 \n  2040.27,1196.88 2045.31,1197.36 2050.35,1197.84 2055.39,1198.3 2060.43,1198.75 2065.47,1199.2 2070.51,1199.64 2075.55,1200.07 2080.59,1200.5 2085.63,1200.91 \n  2090.67,1201.32 2095.71,1201.73 2100.75,1202.12 2105.79,1202.51 2110.83,1202.89 2115.87,1203.27 2120.91,1203.64 2125.95,1204 2130.99,1204.36 2136.03,1204.71 \n  2141.07,1205.06 2146.11,1205.4 2151.15,1205.73 2156.19,1206.06 2161.23,1206.39 2166.27,1206.71 2171.31,1207.02 2176.35,1207.33 2181.39,1207.63 2186.43,1207.93 \n  2191.47,1208.23 2196.51,1208.52 2201.55,1208.8 2206.59,1209.08 2211.63,1209.36 2216.67,1209.63 2221.71,1209.9 2226.75,1210.17 2231.79,1210.43 2236.83,1210.68 \n  2241.87,1210.94 2246.91,1211.19 2251.95,1211.43 2256.99,1211.67 2262.03,1211.91 2267.07,1212.15 2272.11,1212.38 2277.15,1212.61 2282.19,1212.83 2287.23,1213.05 \n  2292.27,1213.27 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1213.27 281.275,996.886 286.315,809.757 291.356,649.493 296.396,513.846 301.436,400.697 306.476,308.059 311.516,234.063 316.556,176.96 321.596,135.111 \n  326.636,106.982 331.676,91.1421 336.716,86.2547 341.757,91.0759 346.797,104.449 351.837,125.298 356.877,152.63 361.917,185.522 366.957,223.124 371.997,264.653 \n  377.037,309.389 382.077,356.672 387.117,405.899 392.158,456.521 397.198,508.038 402.238,559.999 407.278,611.997 412.318,663.666 417.358,714.683 422.398,764.758 \n  427.438,813.637 432.478,861.099 437.518,906.953 442.559,951.035 447.599,993.208 452.639,1033.36 457.679,1071.4 462.719,1107.26 467.759,1140.88 472.799,1172.25 \n  477.839,1201.32 482.879,1228.12 487.919,1252.63 492.96,1274.9 498,1294.95 503.04,1312.83 508.08,1328.58 513.12,1342.27 518.16,1353.97 523.2,1363.75 \n  528.24,1371.67 533.28,1377.84 538.32,1382.32 543.36,1385.22 548.401,1386.61 553.441,1386.59 558.481,1385.25 563.521,1382.69 568.561,1379 573.601,1374.27 \n  578.641,1368.58 583.681,1362.04 588.721,1354.73 593.761,1346.74 598.802,1338.15 603.842,1329.04 608.882,1319.5 613.922,1309.6 618.962,1299.41 624.002,1289 \n  629.042,1278.45 634.082,1267.81 639.122,1257.16 644.162,1246.53 649.203,1235.99 654.243,1225.59 659.283,1215.38 664.323,1205.39 669.363,1195.67 674.403,1186.25 \n  679.443,1177.16 684.483,1168.43 689.523,1160.1 694.563,1152.17 699.604,1144.67 704.644,1137.62 709.684,1131.02 714.724,1124.88 719.764,1119.22 724.804,1114.04 \n  729.844,1109.33 734.884,1105.09 739.924,1101.32 744.964,1098.02 750.005,1095.18 755.045,1092.77 760.085,1090.8 765.125,1089.25 770.165,1088.1 775.205,1087.33 \n  780.245,1086.93 785.285,1086.87 790.325,1087.13 795.365,1087.7 800.406,1088.53 805.446,1089.62 810.486,1090.94 815.526,1092.46 820.566,1094.15 825.606,1095.99 \n  830.646,1097.95 835.686,1100.01 840.726,1102.14 845.766,1104.31 850.807,1106.49 855.847,1108.66 860.887,1110.8 865.927,1112.87 870.967,1114.86 876.007,1116.73 \n  881.047,1118.48 886.087,1120.06 891.127,1121.47 896.167,1122.68 901.207,1123.66 906.248,1124.41 911.288,1124.91 916.328,1125.13 921.368,1125.06 926.408,1124.69 \n  931.448,1124 936.488,1122.99 941.528,1121.63 946.568,1119.93 951.608,1117.87 956.649,1115.45 961.689,1112.66 966.729,1109.49 971.769,1105.95 976.809,1102.03 \n  981.849,1097.73 986.889,1093.06 991.929,1088.01 996.969,1082.58 1002.01,1076.8 1007.05,1070.65 1012.09,1064.14 1017.13,1057.29 1022.17,1050.11 1027.21,1042.59 \n  1032.25,1034.77 1037.29,1026.64 1042.33,1018.22 1047.37,1009.53 1052.41,1000.59 1057.45,991.395 1062.49,981.979 1067.53,972.355 1072.57,962.542 1077.61,952.558 \n  1082.65,942.424 1087.69,932.158 1092.73,921.783 1097.77,911.318 1102.81,900.785 1107.85,890.206 1112.89,879.603 1117.93,868.997 1122.97,858.41 1128.01,847.866 \n  1133.05,837.386 1138.09,826.992 1143.13,816.706 1148.17,806.551 1153.21,796.548 1158.25,786.719 1163.29,777.084 1168.33,767.664 1173.37,758.48 1178.41,749.552 \n  1183.45,740.899 1188.49,732.54 1193.53,724.492 1198.57,716.774 1203.61,709.402 1208.65,702.392 1213.69,695.76 1218.73,689.52 1223.77,683.685 1228.81,678.269 \n  1233.85,673.284 1238.89,668.739 1243.93,664.646 1248.97,661.013 1254.01,657.848 1259.05,655.158 1264.09,652.949 1269.13,651.226 1274.17,649.993 1279.21,649.252 \n  1284.25,649.005 1289.3,649.252 1294.34,649.993 1299.38,651.226 1304.42,652.949 1309.46,655.158 1314.5,657.848 1319.54,661.013 1324.58,664.646 1329.62,668.739 \n  1334.66,673.284 1339.7,678.269 1344.74,683.685 1349.78,689.52 1354.82,695.76 1359.86,702.392 1364.9,709.402 1369.94,716.774 1374.98,724.492 1380.02,732.54 \n  1385.06,740.899 1390.1,749.552 1395.14,758.48 1400.18,767.664 1405.22,777.084 1410.26,786.719 1415.3,796.548 1420.34,806.551 1425.38,816.706 1430.42,826.992 \n  1435.46,837.386 1440.5,847.866 1445.54,858.41 1450.58,868.997 1455.62,879.603 1460.66,890.206 1465.7,900.785 1470.74,911.318 1475.78,921.783 1480.82,932.158 \n  1485.86,942.424 1490.9,952.558 1495.94,962.542 1500.98,972.355 1506.02,981.979 1511.06,991.395 1516.1,1000.59 1521.14,1009.53 1526.18,1018.22 1531.22,1026.64 \n  1536.26,1034.77 1541.3,1042.59 1546.34,1050.11 1551.38,1057.29 1556.42,1064.14 1561.46,1070.65 1566.5,1076.8 1571.54,1082.58 1576.58,1088.01 1581.62,1093.06 \n  1586.66,1097.73 1591.7,1102.03 1596.74,1105.95 1601.78,1109.49 1606.82,1112.66 1611.86,1115.45 1616.9,1117.87 1621.94,1119.93 1626.98,1121.63 1632.02,1122.99 \n  1637.06,1124 1642.1,1124.69 1647.14,1125.06 1652.18,1125.13 1657.22,1124.91 1662.26,1124.41 1667.3,1123.66 1672.34,1122.68 1677.38,1121.47 1682.42,1120.06 \n  1687.46,1118.48 1692.5,1116.73 1697.54,1114.86 1702.58,1112.87 1707.62,1110.8 1712.66,1108.66 1717.7,1106.49 1722.74,1104.31 1727.78,1102.14 1732.82,1100.01 \n  1737.86,1097.95 1742.9,1095.99 1747.94,1094.15 1752.98,1092.46 1758.02,1090.94 1763.06,1089.62 1768.1,1088.53 1773.14,1087.7 1778.18,1087.13 1783.22,1086.87 \n  1788.26,1086.93 1793.3,1087.33 1798.35,1088.1 1803.39,1089.25 1808.43,1090.8 1813.47,1092.77 1818.51,1095.18 1823.55,1098.02 1828.59,1101.32 1833.63,1105.09 \n  1838.67,1109.33 1843.71,1114.04 1848.75,1119.22 1853.79,1124.88 1858.83,1131.02 1863.87,1137.62 1868.91,1144.67 1873.95,1152.17 1878.99,1160.1 1884.03,1168.43 \n  1889.07,1177.16 1894.11,1186.25 1899.15,1195.67 1904.19,1205.39 1909.23,1215.38 1914.27,1225.59 1919.31,1235.99 1924.35,1246.53 1929.39,1257.16 1934.43,1267.81 \n  1939.47,1278.45 1944.51,1289 1949.55,1299.41 1954.59,1309.6 1959.63,1319.5 1964.67,1329.04 1969.71,1338.15 1974.75,1346.74 1979.79,1354.73 1984.83,1362.04 \n  1989.87,1368.58 1994.91,1374.27 1999.95,1379 2004.99,1382.69 2010.03,1385.25 2015.07,1386.59 2020.11,1386.61 2025.15,1385.22 2030.19,1382.32 2035.23,1377.84 \n  2040.27,1371.67 2045.31,1363.75 2050.35,1353.97 2055.39,1342.27 2060.43,1328.58 2065.47,1312.83 2070.51,1294.95 2075.55,1274.9 2080.59,1252.63 2085.63,1228.12 \n  2090.67,1201.32 2095.71,1172.25 2100.75,1140.88 2105.79,1107.26 2110.83,1071.4 2115.87,1033.36 2120.91,993.208 2125.95,951.035 2130.99,906.953 2136.03,861.099 \n  2141.07,813.637 2146.11,764.758 2151.15,714.683 2156.19,663.666 2161.23,611.997 2166.27,559.999 2171.31,508.038 2176.35,456.521 2181.39,405.899 2186.43,356.672 \n  2191.47,309.389 2196.51,264.653 2201.55,223.124 2206.59,185.522 2211.63,152.63 2216.67,125.298 2221.71,104.449 2226.75,91.0759 2231.79,86.2547 2236.83,91.1421 \n  2241.87,106.982 2246.91,135.111 2251.95,176.96 2256.99,234.063 2262.03,308.059 2267.07,400.697 2272.11,513.846 2277.15,649.493 2282.19,809.757 2287.23,996.886 \n  2292.27,1213.27 \n  \"/>\n<polyline clip-path=\"url(#clip3602)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  276.235,1213.27 477.839,1201.32 679.443,1177.16 881.047,1118.48 1082.65,942.424 1284.25,649.005 1485.86,942.424 1687.46,1118.48 1889.07,1177.16 2090.67,1201.32 \n  2292.27,1213.27 \n  \"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"276.235\" cy=\"1213.27\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"477.839\" cy=\"1201.32\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"679.443\" cy=\"1177.16\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"881.047\" cy=\"1118.48\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"1082.65\" cy=\"942.424\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"1284.25\" cy=\"649.005\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"1485.86\" cy=\"942.424\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"1687.46\" cy=\"1118.48\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"1889.07\" cy=\"1177.16\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"2090.67\" cy=\"1201.32\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip3602)\" cx=\"2292.27\" cy=\"1213.27\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip3600)\" d=\"\nM1489.67 372.684 L2280.76 372.684 L2280.76 130.764 L1489.67 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1489.67,372.684 2280.76,372.684 2280.76,130.764 1489.67,130.764 1489.67,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,191.244 1657.67,191.244 \n  \"/>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,251.724 1657.67,251.724 \n  \"/>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 1</text>\n</g>\n<polyline clip-path=\"url(#clip3600)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1513.67,312.204 1657.67,312.204 \n  \"/>\n<circle clip-path=\"url(#clip3600)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip3600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip3900\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip3900)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip3901\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip3900)\" d=\"\n",
       "M215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip3902\">\n",
       "    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,1235.84 2352.76,1235.84 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,942.424 2352.76,942.424 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,649.005 2352.76,649.005 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,355.585 2352.76,355.585 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,62.1661 2352.76,62.1661 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 215.754,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1235.84 241.398,1235.84 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,942.424 241.398,942.424 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,649.005 241.398,649.005 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,355.585 241.398,355.585 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,62.1661 241.398,62.1661 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1253.34)\" x=\"191.754\" y=\"1253.34\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 959.924)\" x=\"191.754\" y=\"959.924\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 666.505)\" x=\"191.754\" y=\"666.505\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 373.085)\" x=\"191.754\" y=\"373.085\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 79.6661)\" x=\"191.754\" y=\"79.6661\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1213.27 281.275,1213.05 286.315,1212.83 291.356,1212.61 296.396,1212.38 301.436,1212.15 306.476,1211.91 311.516,1211.67 316.556,1211.43 321.596,1211.19 \n",
       "  326.636,1210.94 331.676,1210.68 336.716,1210.43 341.757,1210.17 346.797,1209.9 351.837,1209.63 356.877,1209.36 361.917,1209.08 366.957,1208.8 371.997,1208.52 \n",
       "  377.037,1208.23 382.077,1207.93 387.117,1207.63 392.158,1207.33 397.198,1207.02 402.238,1206.71 407.278,1206.39 412.318,1206.06 417.358,1205.73 422.398,1205.4 \n",
       "  427.438,1205.06 432.478,1204.71 437.518,1204.36 442.559,1204 447.599,1203.64 452.639,1203.27 457.679,1202.89 462.719,1202.51 467.759,1202.12 472.799,1201.73 \n",
       "  477.839,1201.32 482.879,1200.91 487.919,1200.5 492.96,1200.07 498,1199.64 503.04,1199.2 508.08,1198.75 513.12,1198.3 518.16,1197.84 523.2,1197.36 \n",
       "  528.24,1196.88 533.28,1196.39 538.32,1195.89 543.36,1195.39 548.401,1194.87 553.441,1194.34 558.481,1193.81 563.521,1193.26 568.561,1192.7 573.601,1192.13 \n",
       "  578.641,1191.55 583.681,1190.96 588.721,1190.36 593.761,1189.75 598.802,1189.12 603.842,1188.48 608.882,1187.83 613.922,1187.17 618.962,1186.49 624.002,1185.8 \n",
       "  629.042,1185.09 634.082,1184.37 639.122,1183.63 644.162,1182.88 649.203,1182.12 654.243,1181.33 659.283,1180.53 664.323,1179.72 669.363,1178.88 674.403,1178.03 \n",
       "  679.443,1177.16 684.483,1176.27 689.523,1175.36 694.563,1174.43 699.604,1173.48 704.644,1172.51 709.684,1171.51 714.724,1170.5 719.764,1169.46 724.804,1168.4 \n",
       "  729.844,1167.31 734.884,1166.19 739.924,1165.05 744.964,1163.89 750.005,1162.69 755.045,1161.47 760.085,1160.22 765.125,1158.94 770.165,1157.62 775.205,1156.28 \n",
       "  780.245,1154.9 785.285,1153.49 790.325,1152.04 795.365,1150.55 800.406,1149.03 805.446,1147.47 810.486,1145.87 815.526,1144.23 820.566,1142.55 825.606,1140.82 \n",
       "  830.646,1139.04 835.686,1137.22 840.726,1135.36 845.766,1133.44 850.807,1131.47 855.847,1129.45 860.887,1127.37 865.927,1125.24 870.967,1123.04 876.007,1120.79 \n",
       "  881.047,1118.48 886.087,1116.1 891.127,1113.65 896.167,1111.13 901.207,1108.55 906.248,1105.89 911.288,1103.15 916.328,1100.33 921.368,1097.44 926.408,1094.46 \n",
       "  931.448,1091.39 936.488,1088.23 941.528,1084.98 946.568,1081.64 951.608,1078.2 956.649,1074.65 961.689,1071 966.729,1067.24 971.769,1063.37 976.809,1059.38 \n",
       "  981.849,1055.28 986.889,1051.05 991.929,1046.69 996.969,1042.21 1002.01,1037.59 1007.05,1032.83 1012.09,1027.93 1017.13,1022.88 1022.17,1017.69 1027.21,1012.34 \n",
       "  1032.25,1006.83 1037.29,1001.17 1042.33,995.335 1047.37,989.337 1052.41,983.168 1057.45,976.825 1062.49,970.305 1067.53,963.607 1072.57,956.728 1077.61,949.668 \n",
       "  1082.65,942.424 1087.69,934.997 1092.73,927.386 1097.77,919.595 1102.81,911.623 1107.85,903.474 1112.89,895.153 1117.93,886.664 1122.97,878.015 1128.01,869.212 \n",
       "  1133.05,860.266 1138.09,851.188 1143.13,841.992 1148.17,832.691 1153.21,823.303 1158.25,813.847 1163.29,804.344 1168.33,794.818 1173.37,785.295 1178.41,775.803 \n",
       "  1183.45,766.372 1188.49,757.035 1193.53,747.828 1198.57,738.786 1203.61,729.948 1208.65,721.354 1213.69,713.047 1218.73,705.068 1223.77,697.459 1228.81,690.264 \n",
       "  1233.85,683.524 1238.89,677.282 1243.93,671.575 1248.97,666.442 1254.01,661.918 1259.05,658.033 1264.09,654.815 1269.13,652.287 1274.17,650.468 1279.21,649.371 \n",
       "  1284.25,649.005 1289.3,649.371 1294.34,650.468 1299.38,652.287 1304.42,654.815 1309.46,658.033 1314.5,661.918 1319.54,666.442 1324.58,671.575 1329.62,677.282 \n",
       "  1334.66,683.524 1339.7,690.264 1344.74,697.459 1349.78,705.068 1354.82,713.047 1359.86,721.354 1364.9,729.948 1369.94,738.786 1374.98,747.828 1380.02,757.035 \n",
       "  1385.06,766.372 1390.1,775.803 1395.14,785.295 1400.18,794.818 1405.22,804.344 1410.26,813.847 1415.3,823.303 1420.34,832.691 1425.38,841.992 1430.42,851.188 \n",
       "  1435.46,860.266 1440.5,869.212 1445.54,878.015 1450.58,886.664 1455.62,895.153 1460.66,903.474 1465.7,911.623 1470.74,919.595 1475.78,927.386 1480.82,934.997 \n",
       "  1485.86,942.424 1490.9,949.668 1495.94,956.728 1500.98,963.607 1506.02,970.305 1511.06,976.825 1516.1,983.168 1521.14,989.337 1526.18,995.335 1531.22,1001.17 \n",
       "  1536.26,1006.83 1541.3,1012.34 1546.34,1017.69 1551.38,1022.88 1556.42,1027.93 1561.46,1032.83 1566.5,1037.59 1571.54,1042.21 1576.58,1046.69 1581.62,1051.05 \n",
       "  1586.66,1055.28 1591.7,1059.38 1596.74,1063.37 1601.78,1067.24 1606.82,1071 1611.86,1074.65 1616.9,1078.2 1621.94,1081.64 1626.98,1084.98 1632.02,1088.23 \n",
       "  1637.06,1091.39 1642.1,1094.46 1647.14,1097.44 1652.18,1100.33 1657.22,1103.15 1662.26,1105.89 1667.3,1108.55 1672.34,1111.13 1677.38,1113.65 1682.42,1116.1 \n",
       "  1687.46,1118.48 1692.5,1120.79 1697.54,1123.04 1702.58,1125.24 1707.62,1127.37 1712.66,1129.45 1717.7,1131.47 1722.74,1133.44 1727.78,1135.36 1732.82,1137.22 \n",
       "  1737.86,1139.04 1742.9,1140.82 1747.94,1142.55 1752.98,1144.23 1758.02,1145.87 1763.06,1147.47 1768.1,1149.03 1773.14,1150.55 1778.18,1152.04 1783.22,1153.49 \n",
       "  1788.26,1154.9 1793.3,1156.28 1798.35,1157.62 1803.39,1158.94 1808.43,1160.22 1813.47,1161.47 1818.51,1162.69 1823.55,1163.89 1828.59,1165.05 1833.63,1166.19 \n",
       "  1838.67,1167.31 1843.71,1168.4 1848.75,1169.46 1853.79,1170.5 1858.83,1171.51 1863.87,1172.51 1868.91,1173.48 1873.95,1174.43 1878.99,1175.36 1884.03,1176.27 \n",
       "  1889.07,1177.16 1894.11,1178.03 1899.15,1178.88 1904.19,1179.72 1909.23,1180.53 1914.27,1181.33 1919.31,1182.12 1924.35,1182.88 1929.39,1183.63 1934.43,1184.37 \n",
       "  1939.47,1185.09 1944.51,1185.8 1949.55,1186.49 1954.59,1187.17 1959.63,1187.83 1964.67,1188.48 1969.71,1189.12 1974.75,1189.75 1979.79,1190.36 1984.83,1190.96 \n",
       "  1989.87,1191.55 1994.91,1192.13 1999.95,1192.7 2004.99,1193.26 2010.03,1193.81 2015.07,1194.34 2020.11,1194.87 2025.15,1195.39 2030.19,1195.89 2035.23,1196.39 \n",
       "  2040.27,1196.88 2045.31,1197.36 2050.35,1197.84 2055.39,1198.3 2060.43,1198.75 2065.47,1199.2 2070.51,1199.64 2075.55,1200.07 2080.59,1200.5 2085.63,1200.91 \n",
       "  2090.67,1201.32 2095.71,1201.73 2100.75,1202.12 2105.79,1202.51 2110.83,1202.89 2115.87,1203.27 2120.91,1203.64 2125.95,1204 2130.99,1204.36 2136.03,1204.71 \n",
       "  2141.07,1205.06 2146.11,1205.4 2151.15,1205.73 2156.19,1206.06 2161.23,1206.39 2166.27,1206.71 2171.31,1207.02 2176.35,1207.33 2181.39,1207.63 2186.43,1207.93 \n",
       "  2191.47,1208.23 2196.51,1208.52 2201.55,1208.8 2206.59,1209.08 2211.63,1209.36 2216.67,1209.63 2221.71,1209.9 2226.75,1210.17 2231.79,1210.43 2236.83,1210.68 \n",
       "  2241.87,1210.94 2246.91,1211.19 2251.95,1211.43 2256.99,1211.67 2262.03,1211.91 2267.07,1212.15 2272.11,1212.38 2277.15,1212.61 2282.19,1212.83 2287.23,1213.05 \n",
       "  2292.27,1213.27 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1213.27 281.275,996.886 286.315,809.757 291.356,649.493 296.396,513.846 301.436,400.697 306.476,308.059 311.516,234.063 316.556,176.96 321.596,135.111 \n",
       "  326.636,106.982 331.676,91.1421 336.716,86.2547 341.757,91.0759 346.797,104.449 351.837,125.298 356.877,152.63 361.917,185.522 366.957,223.124 371.997,264.653 \n",
       "  377.037,309.389 382.077,356.672 387.117,405.899 392.158,456.521 397.198,508.038 402.238,559.999 407.278,611.997 412.318,663.666 417.358,714.683 422.398,764.758 \n",
       "  427.438,813.637 432.478,861.099 437.518,906.953 442.559,951.035 447.599,993.208 452.639,1033.36 457.679,1071.4 462.719,1107.26 467.759,1140.88 472.799,1172.25 \n",
       "  477.839,1201.32 482.879,1228.12 487.919,1252.63 492.96,1274.9 498,1294.95 503.04,1312.83 508.08,1328.58 513.12,1342.27 518.16,1353.97 523.2,1363.75 \n",
       "  528.24,1371.67 533.28,1377.84 538.32,1382.32 543.36,1385.22 548.401,1386.61 553.441,1386.59 558.481,1385.25 563.521,1382.69 568.561,1379 573.601,1374.27 \n",
       "  578.641,1368.58 583.681,1362.04 588.721,1354.73 593.761,1346.74 598.802,1338.15 603.842,1329.04 608.882,1319.5 613.922,1309.6 618.962,1299.41 624.002,1289 \n",
       "  629.042,1278.45 634.082,1267.81 639.122,1257.16 644.162,1246.53 649.203,1235.99 654.243,1225.59 659.283,1215.38 664.323,1205.39 669.363,1195.67 674.403,1186.25 \n",
       "  679.443,1177.16 684.483,1168.43 689.523,1160.1 694.563,1152.17 699.604,1144.67 704.644,1137.62 709.684,1131.02 714.724,1124.88 719.764,1119.22 724.804,1114.04 \n",
       "  729.844,1109.33 734.884,1105.09 739.924,1101.32 744.964,1098.02 750.005,1095.18 755.045,1092.77 760.085,1090.8 765.125,1089.25 770.165,1088.1 775.205,1087.33 \n",
       "  780.245,1086.93 785.285,1086.87 790.325,1087.13 795.365,1087.7 800.406,1088.53 805.446,1089.62 810.486,1090.94 815.526,1092.46 820.566,1094.15 825.606,1095.99 \n",
       "  830.646,1097.95 835.686,1100.01 840.726,1102.14 845.766,1104.31 850.807,1106.49 855.847,1108.66 860.887,1110.8 865.927,1112.87 870.967,1114.86 876.007,1116.73 \n",
       "  881.047,1118.48 886.087,1120.06 891.127,1121.47 896.167,1122.68 901.207,1123.66 906.248,1124.41 911.288,1124.91 916.328,1125.13 921.368,1125.06 926.408,1124.69 \n",
       "  931.448,1124 936.488,1122.99 941.528,1121.63 946.568,1119.93 951.608,1117.87 956.649,1115.45 961.689,1112.66 966.729,1109.49 971.769,1105.95 976.809,1102.03 \n",
       "  981.849,1097.73 986.889,1093.06 991.929,1088.01 996.969,1082.58 1002.01,1076.8 1007.05,1070.65 1012.09,1064.14 1017.13,1057.29 1022.17,1050.11 1027.21,1042.59 \n",
       "  1032.25,1034.77 1037.29,1026.64 1042.33,1018.22 1047.37,1009.53 1052.41,1000.59 1057.45,991.395 1062.49,981.979 1067.53,972.355 1072.57,962.542 1077.61,952.558 \n",
       "  1082.65,942.424 1087.69,932.158 1092.73,921.783 1097.77,911.318 1102.81,900.785 1107.85,890.206 1112.89,879.603 1117.93,868.997 1122.97,858.41 1128.01,847.866 \n",
       "  1133.05,837.386 1138.09,826.992 1143.13,816.706 1148.17,806.551 1153.21,796.548 1158.25,786.719 1163.29,777.084 1168.33,767.664 1173.37,758.48 1178.41,749.552 \n",
       "  1183.45,740.899 1188.49,732.54 1193.53,724.492 1198.57,716.774 1203.61,709.402 1208.65,702.392 1213.69,695.76 1218.73,689.52 1223.77,683.685 1228.81,678.269 \n",
       "  1233.85,673.284 1238.89,668.739 1243.93,664.646 1248.97,661.013 1254.01,657.848 1259.05,655.158 1264.09,652.949 1269.13,651.226 1274.17,649.993 1279.21,649.252 \n",
       "  1284.25,649.005 1289.3,649.252 1294.34,649.993 1299.38,651.226 1304.42,652.949 1309.46,655.158 1314.5,657.848 1319.54,661.013 1324.58,664.646 1329.62,668.739 \n",
       "  1334.66,673.284 1339.7,678.269 1344.74,683.685 1349.78,689.52 1354.82,695.76 1359.86,702.392 1364.9,709.402 1369.94,716.774 1374.98,724.492 1380.02,732.54 \n",
       "  1385.06,740.899 1390.1,749.552 1395.14,758.48 1400.18,767.664 1405.22,777.084 1410.26,786.719 1415.3,796.548 1420.34,806.551 1425.38,816.706 1430.42,826.992 \n",
       "  1435.46,837.386 1440.5,847.866 1445.54,858.41 1450.58,868.997 1455.62,879.603 1460.66,890.206 1465.7,900.785 1470.74,911.318 1475.78,921.783 1480.82,932.158 \n",
       "  1485.86,942.424 1490.9,952.558 1495.94,962.542 1500.98,972.355 1506.02,981.979 1511.06,991.395 1516.1,1000.59 1521.14,1009.53 1526.18,1018.22 1531.22,1026.64 \n",
       "  1536.26,1034.77 1541.3,1042.59 1546.34,1050.11 1551.38,1057.29 1556.42,1064.14 1561.46,1070.65 1566.5,1076.8 1571.54,1082.58 1576.58,1088.01 1581.62,1093.06 \n",
       "  1586.66,1097.73 1591.7,1102.03 1596.74,1105.95 1601.78,1109.49 1606.82,1112.66 1611.86,1115.45 1616.9,1117.87 1621.94,1119.93 1626.98,1121.63 1632.02,1122.99 \n",
       "  1637.06,1124 1642.1,1124.69 1647.14,1125.06 1652.18,1125.13 1657.22,1124.91 1662.26,1124.41 1667.3,1123.66 1672.34,1122.68 1677.38,1121.47 1682.42,1120.06 \n",
       "  1687.46,1118.48 1692.5,1116.73 1697.54,1114.86 1702.58,1112.87 1707.62,1110.8 1712.66,1108.66 1717.7,1106.49 1722.74,1104.31 1727.78,1102.14 1732.82,1100.01 \n",
       "  1737.86,1097.95 1742.9,1095.99 1747.94,1094.15 1752.98,1092.46 1758.02,1090.94 1763.06,1089.62 1768.1,1088.53 1773.14,1087.7 1778.18,1087.13 1783.22,1086.87 \n",
       "  1788.26,1086.93 1793.3,1087.33 1798.35,1088.1 1803.39,1089.25 1808.43,1090.8 1813.47,1092.77 1818.51,1095.18 1823.55,1098.02 1828.59,1101.32 1833.63,1105.09 \n",
       "  1838.67,1109.33 1843.71,1114.04 1848.75,1119.22 1853.79,1124.88 1858.83,1131.02 1863.87,1137.62 1868.91,1144.67 1873.95,1152.17 1878.99,1160.1 1884.03,1168.43 \n",
       "  1889.07,1177.16 1894.11,1186.25 1899.15,1195.67 1904.19,1205.39 1909.23,1215.38 1914.27,1225.59 1919.31,1235.99 1924.35,1246.53 1929.39,1257.16 1934.43,1267.81 \n",
       "  1939.47,1278.45 1944.51,1289 1949.55,1299.41 1954.59,1309.6 1959.63,1319.5 1964.67,1329.04 1969.71,1338.15 1974.75,1346.74 1979.79,1354.73 1984.83,1362.04 \n",
       "  1989.87,1368.58 1994.91,1374.27 1999.95,1379 2004.99,1382.69 2010.03,1385.25 2015.07,1386.59 2020.11,1386.61 2025.15,1385.22 2030.19,1382.32 2035.23,1377.84 \n",
       "  2040.27,1371.67 2045.31,1363.75 2050.35,1353.97 2055.39,1342.27 2060.43,1328.58 2065.47,1312.83 2070.51,1294.95 2075.55,1274.9 2080.59,1252.63 2085.63,1228.12 \n",
       "  2090.67,1201.32 2095.71,1172.25 2100.75,1140.88 2105.79,1107.26 2110.83,1071.4 2115.87,1033.36 2120.91,993.208 2125.95,951.035 2130.99,906.953 2136.03,861.099 \n",
       "  2141.07,813.637 2146.11,764.758 2151.15,714.683 2156.19,663.666 2161.23,611.997 2166.27,559.999 2171.31,508.038 2176.35,456.521 2181.39,405.899 2186.43,356.672 \n",
       "  2191.47,309.389 2196.51,264.653 2201.55,223.124 2206.59,185.522 2211.63,152.63 2216.67,125.298 2221.71,104.449 2226.75,91.0759 2231.79,86.2547 2236.83,91.1421 \n",
       "  2241.87,106.982 2246.91,135.111 2251.95,176.96 2256.99,234.063 2262.03,308.059 2267.07,400.697 2272.11,513.846 2277.15,649.493 2282.19,809.757 2287.23,996.886 \n",
       "  2292.27,1213.27 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3902)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1213.27 477.839,1201.32 679.443,1177.16 881.047,1118.48 1082.65,942.424 1284.25,649.005 1485.86,942.424 1687.46,1118.48 1889.07,1177.16 2090.67,1201.32 \n",
       "  2292.27,1213.27 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"276.235\" cy=\"1213.27\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"477.839\" cy=\"1201.32\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"679.443\" cy=\"1177.16\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"881.047\" cy=\"1118.48\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"1082.65\" cy=\"942.424\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"1284.25\" cy=\"649.005\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"1485.86\" cy=\"942.424\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"1687.46\" cy=\"1118.48\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"1889.07\" cy=\"1177.16\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"2090.67\" cy=\"1201.32\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip3902)\" cx=\"2292.27\" cy=\"1213.27\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip3900)\" d=\"\n",
       "M1489.67 372.684 L2280.76 372.684 L2280.76 130.764 L1489.67 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1489.67,372.684 2280.76,372.684 2280.76,130.764 1489.67,130.764 1489.67,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,191.244 1657.67,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,251.724 1657.67,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 1</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip3900)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,312.204 1657.67,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip3900)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip3900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xo, yo, xx, yy_ori, yy_int, A = ployint_1()\n",
    "# pyplot(dpi = 130)\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 1\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")\n",
    "#Plots.savefig(\"1.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 误差估计\n",
    "\n",
    "误差估计中，给出$f(x)$与插值多项式$L_{10}(x)$的误差随$x$的变化曲线，如下图所示。其中误差的最大值为\n",
    "$$\\max|\\left(f(x)-L_{10}(x)\\right)|=1.9156430502192463$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.9156430502192463\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip4200\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip4200)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip4201\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip4200)\" d=\"\nM203.721 1425.62 L2352.76 1425.62 L2352.76 47.2441 L203.721 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip4202\">\n    <rect x=\"203\" y=\"47\" width=\"2150\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  264.542,1425.62 264.542,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  771.39,1425.62 771.39,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1278.24,1425.62 1278.24,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1785.09,1425.62 1785.09,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2291.93,1425.62 2291.93,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  203.721,1414.92 2352.76,1414.92 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  203.721,1079.31 2352.76,1079.31 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  203.721,743.699 2352.76,743.699 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  203.721,408.089 2352.76,408.089 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  203.721,72.4785 2352.76,72.4785 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,1425.62 203.721,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  264.542,1425.62 264.542,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  771.39,1425.62 771.39,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1278.24,1425.62 1278.24,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1785.09,1425.62 1785.09,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2291.93,1425.62 2291.93,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,1414.92 229.509,1414.92 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,1079.31 229.509,1079.31 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,743.699 229.509,743.699 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,408.089 229.509,408.089 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  203.721,72.4785 229.509,72.4785 \n  \"/>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 264.542, 1479.62)\" x=\"264.542\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 771.39, 1479.62)\" x=\"771.39\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1278.24, 1479.62)\" x=\"1278.24\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1785.09, 1479.62)\" x=\"1785.09\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2291.93, 1479.62)\" x=\"2291.93\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 1432.42)\" x=\"179.721\" y=\"1432.42\">-2</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 1096.81)\" x=\"179.721\" y=\"1096.81\">-1</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 761.199)\" x=\"179.721\" y=\"761.199\">0</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 425.589)\" x=\"179.721\" y=\"425.589\">1</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 89.9785)\" x=\"179.721\" y=\"89.9785\">2</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1278.24, 1559.48)\" x=\"1278.24\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  264.542,730.791 269.611,730.666 274.679,730.539 279.748,730.41 284.816,730.28 289.885,730.147 294.953,730.013 300.022,729.877 305.09,729.738 310.159,729.598 \n  315.227,729.455 320.296,729.311 325.364,729.164 330.433,729.015 335.501,728.864 340.57,728.71 345.638,728.554 350.707,728.396 355.775,728.235 360.844,728.071 \n  365.912,727.905 370.98,727.737 376.049,727.566 381.117,727.392 386.186,727.215 391.254,727.035 396.323,726.853 401.391,726.668 406.46,726.479 411.528,726.288 \n  416.597,726.093 421.665,725.895 426.734,725.694 431.802,725.489 436.871,725.281 441.939,725.07 447.008,724.855 452.076,724.636 457.145,724.414 462.213,724.187 \n  467.282,723.957 472.35,723.723 477.419,723.484 482.487,723.242 487.556,722.995 492.624,722.744 497.692,722.488 502.761,722.227 507.829,721.962 512.898,721.692 \n  517.966,721.418 523.035,721.138 528.103,720.853 533.172,720.562 538.24,720.266 543.309,719.965 548.377,719.658 553.446,719.345 558.514,719.026 563.583,718.701 \n  568.651,718.37 573.72,718.032 578.788,717.688 583.857,717.336 588.925,716.978 593.994,716.613 599.062,716.24 604.131,715.86 609.199,715.473 614.267,715.077 \n  619.336,714.673 624.404,714.261 629.473,713.84 634.541,713.411 639.61,712.972 644.678,712.525 649.747,712.067 654.815,711.6 659.884,711.123 664.952,710.636 \n  670.021,710.138 675.089,709.629 680.158,709.109 685.226,708.577 690.295,708.034 695.363,707.478 700.432,706.91 705.5,706.328 710.569,705.734 715.637,705.126 \n  720.706,704.503 725.774,703.867 730.843,703.215 735.911,702.548 740.979,701.865 746.048,701.166 751.116,700.45 756.185,699.717 761.253,698.966 766.322,698.196 \n  771.39,697.408 776.459,696.6 781.527,695.772 786.596,694.923 791.664,694.052 796.733,693.16 801.801,692.245 806.87,691.306 811.938,690.343 817.007,689.354 \n  822.075,688.34 827.144,687.3 832.212,686.231 837.281,685.134 842.349,684.008 847.418,682.852 852.486,681.664 857.554,680.443 862.623,679.189 867.691,677.901 \n  872.76,676.577 877.828,675.216 882.897,673.816 887.965,672.378 893.034,670.898 898.102,669.377 903.171,667.812 908.239,666.202 913.308,664.545 918.376,662.841 \n  923.445,661.087 928.513,659.282 933.582,657.424 938.65,655.511 943.719,653.542 948.787,651.514 953.856,649.426 958.924,647.276 963.993,645.062 969.061,642.782 \n  974.13,640.434 979.198,638.016 984.266,635.525 989.335,632.959 994.403,630.317 999.472,627.596 1004.54,624.794 1009.61,621.908 1014.68,618.937 1019.75,615.878 \n  1024.81,612.729 1029.88,609.488 1034.95,606.154 1040.02,602.723 1045.09,599.195 1050.16,595.567 1055.23,591.839 1060.29,588.008 1065.36,584.074 1070.43,580.036 \n  1075.5,575.894 1080.57,571.646 1085.64,567.294 1090.7,562.838 1095.77,558.279 1100.84,553.619 1105.91,548.86 1110.98,544.005 1116.05,539.058 1121.12,534.024 \n  1126.18,528.908 1131.25,523.717 1136.32,518.457 1141.39,513.138 1146.46,507.769 1151.53,502.361 1156.59,496.927 1161.66,491.479 1166.73,486.033 1171.8,480.604 \n  1176.87,475.211 1181.94,469.871 1187.01,464.605 1192.07,459.434 1197.14,454.38 1202.21,449.465 1207.28,444.714 1212.35,440.151 1217.42,435.8 1222.49,431.685 \n  1227.55,427.83 1232.62,424.26 1237.69,420.997 1242.76,418.061 1247.83,415.474 1252.9,413.252 1257.96,411.412 1263.03,409.966 1268.1,408.926 1273.17,408.298 \n  1278.24,408.089 1283.31,408.298 1288.38,408.926 1293.44,409.966 1298.51,411.412 1303.58,413.252 1308.65,415.474 1313.72,418.061 1318.79,420.997 1323.85,424.26 \n  1328.92,427.83 1333.99,431.685 1339.06,435.8 1344.13,440.151 1349.2,444.714 1354.27,449.465 1359.33,454.38 1364.4,459.434 1369.47,464.605 1374.54,469.871 \n  1379.61,475.211 1384.68,480.604 1389.74,486.033 1394.81,491.479 1399.88,496.927 1404.95,502.361 1410.02,507.769 1415.09,513.138 1420.16,518.457 1425.22,523.717 \n  1430.29,528.908 1435.36,534.024 1440.43,539.058 1445.5,544.005 1450.57,548.86 1455.64,553.619 1460.7,558.279 1465.77,562.838 1470.84,567.294 1475.91,571.646 \n  1480.98,575.894 1486.05,580.036 1491.11,584.074 1496.18,588.008 1501.25,591.839 1506.32,595.567 1511.39,599.195 1516.46,602.723 1521.53,606.154 1526.59,609.488 \n  1531.66,612.729 1536.73,615.878 1541.8,618.937 1546.87,621.908 1551.94,624.794 1557,627.596 1562.07,630.317 1567.14,632.959 1572.21,635.525 1577.28,638.016 \n  1582.35,640.434 1587.42,642.782 1592.48,645.062 1597.55,647.276 1602.62,649.426 1607.69,651.514 1612.76,653.542 1617.83,655.511 1622.89,657.424 1627.96,659.282 \n  1633.03,661.087 1638.1,662.841 1643.17,664.545 1648.24,666.202 1653.31,667.812 1658.37,669.377 1663.44,670.898 1668.51,672.378 1673.58,673.816 1678.65,675.216 \n  1683.72,676.577 1688.79,677.901 1693.85,679.189 1698.92,680.443 1703.99,681.664 1709.06,682.852 1714.13,684.008 1719.2,685.134 1724.26,686.231 1729.33,687.3 \n  1734.4,688.34 1739.47,689.354 1744.54,690.343 1749.61,691.306 1754.68,692.245 1759.74,693.16 1764.81,694.052 1769.88,694.923 1774.95,695.772 1780.02,696.6 \n  1785.09,697.408 1790.15,698.196 1795.22,698.966 1800.29,699.717 1805.36,700.45 1810.43,701.166 1815.5,701.865 1820.57,702.548 1825.63,703.215 1830.7,703.867 \n  1835.77,704.503 1840.84,705.126 1845.91,705.734 1850.98,706.328 1856.04,706.91 1861.11,707.478 1866.18,708.034 1871.25,708.577 1876.32,709.109 1881.39,709.629 \n  1886.46,710.138 1891.52,710.636 1896.59,711.123 1901.66,711.6 1906.73,712.067 1911.8,712.525 1916.87,712.972 1921.94,713.411 1927,713.84 1932.07,714.261 \n  1937.14,714.673 1942.21,715.077 1947.28,715.473 1952.35,715.86 1957.41,716.24 1962.48,716.613 1967.55,716.978 1972.62,717.336 1977.69,717.688 1982.76,718.032 \n  1987.83,718.37 1992.89,718.701 1997.96,719.026 2003.03,719.345 2008.1,719.658 2013.17,719.965 2018.24,720.266 2023.3,720.562 2028.37,720.853 2033.44,721.138 \n  2038.51,721.418 2043.58,721.692 2048.65,721.962 2053.72,722.227 2058.78,722.488 2063.85,722.744 2068.92,722.995 2073.99,723.242 2079.06,723.484 2084.13,723.723 \n  2089.19,723.957 2094.26,724.187 2099.33,724.414 2104.4,724.636 2109.47,724.855 2114.54,725.07 2119.61,725.281 2124.67,725.489 2129.74,725.694 2134.81,725.895 \n  2139.88,726.093 2144.95,726.288 2150.02,726.479 2155.09,726.668 2160.15,726.853 2165.22,727.035 2170.29,727.215 2175.36,727.392 2180.43,727.566 2185.5,727.737 \n  2190.56,727.905 2195.63,728.071 2200.7,728.235 2205.77,728.396 2210.84,728.554 2215.91,728.71 2220.98,728.864 2226.04,729.015 2231.11,729.164 2236.18,729.311 \n  2241.25,729.455 2246.32,729.598 2251.39,729.738 2256.45,729.877 2261.52,730.013 2266.59,730.147 2271.66,730.28 2276.73,730.41 2281.8,730.539 2286.87,730.666 \n  2291.93,730.791 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  264.542,730.791 269.611,607.04 274.679,500.022 279.748,408.368 284.816,330.792 289.885,266.083 294.953,213.103 300.022,170.786 305.09,138.129 310.159,114.195 \n  315.227,98.1087 320.296,89.0498 325.364,86.2547 330.433,89.0119 335.501,96.6597 340.57,108.584 345.638,124.214 350.707,143.025 355.775,164.53 360.844,188.28 \n  365.912,213.864 370.98,240.905 376.049,269.058 381.117,298.008 386.186,327.471 391.254,357.187 396.323,386.924 401.391,416.474 406.46,445.65 411.528,474.287 \n  416.597,502.241 421.665,529.384 426.734,555.608 431.802,580.818 436.871,604.937 441.939,627.9 447.008,649.655 452.076,670.162 457.145,689.393 462.213,707.328 \n  467.282,723.957 472.35,739.28 477.419,753.302 482.487,766.036 487.556,777.503 492.624,787.726 497.692,796.736 502.761,804.566 507.829,811.256 512.898,816.846 \n  517.966,821.38 523.035,824.905 528.103,827.47 533.172,829.125 538.24,829.921 543.309,829.91 548.377,829.146 553.446,827.681 558.514,825.569 563.583,822.862 \n  568.651,819.613 573.72,815.872 578.788,811.692 583.857,807.121 588.925,802.208 593.994,796.999 599.062,791.541 604.131,785.878 609.199,780.05 614.267,774.1 \n  619.336,768.065 624.404,761.983 629.473,755.887 634.541,749.811 639.61,743.785 644.678,737.837 649.747,731.995 654.815,726.283 659.884,720.722 664.952,715.335 \n  670.021,710.138 675.089,705.148 680.158,700.381 685.226,695.847 690.295,691.559 695.363,687.524 700.432,683.75 705.5,680.242 710.569,677.004 715.637,674.038 \n  720.706,671.344 725.774,668.921 730.843,666.768 735.911,664.88 740.979,663.252 746.048,661.878 751.116,660.752 756.185,659.864 761.253,659.205 766.322,658.766 \n  771.39,658.536 776.459,658.502 781.527,658.652 786.596,658.974 791.664,659.454 796.733,660.077 801.801,660.83 806.87,661.698 811.938,662.666 817.007,663.719 \n  822.075,664.841 827.144,666.018 832.212,667.233 837.281,668.473 842.349,669.722 847.418,670.964 852.486,672.185 857.554,673.371 862.623,674.507 867.691,675.58 \n  872.76,676.577 877.828,677.484 882.897,678.288 887.965,678.979 893.034,679.544 898.102,679.973 903.171,680.255 908.239,680.382 913.308,680.343 918.376,680.131 \n  923.445,679.738 928.513,679.158 933.582,678.383 938.65,677.409 943.719,676.232 948.787,674.846 953.856,673.249 958.924,671.439 963.993,669.414 969.061,667.172 \n  974.13,664.714 979.198,662.04 984.266,659.152 989.335,656.051 994.403,652.74 999.472,649.223 1004.54,645.504 1009.61,641.586 1014.68,637.477 1019.75,633.181 \n  1024.81,628.705 1029.88,624.057 1034.95,619.244 1040.02,614.274 1045.09,609.156 1050.16,603.9 1055.23,598.515 1060.29,593.011 1065.36,587.399 1070.43,581.69 \n  1075.5,575.894 1080.57,570.023 1085.64,564.089 1090.7,558.105 1095.77,552.081 1100.84,546.031 1105.91,539.967 1110.98,533.901 1116.05,527.847 1121.12,521.817 \n  1126.18,515.823 1131.25,509.879 1136.32,503.997 1141.39,498.189 1146.46,492.468 1151.53,486.847 1156.59,481.337 1161.66,475.95 1166.73,470.697 1171.8,465.591 \n  1176.87,460.643 1181.94,455.862 1187.01,451.26 1192.07,446.846 1197.14,442.63 1202.21,438.621 1207.28,434.828 1212.35,431.259 1217.42,427.922 1222.49,424.825 \n  1227.55,421.974 1232.62,419.375 1237.69,417.034 1242.76,414.956 1247.83,413.146 1252.9,411.608 1257.96,410.345 1263.03,409.359 1268.1,408.654 1273.17,408.23 \n  1278.24,408.089 1283.31,408.23 1288.38,408.654 1293.44,409.359 1298.51,410.345 1303.58,411.608 1308.65,413.146 1313.72,414.956 1318.79,417.034 1323.85,419.375 \n  1328.92,421.974 1333.99,424.825 1339.06,427.922 1344.13,431.259 1349.2,434.828 1354.27,438.621 1359.33,442.63 1364.4,446.846 1369.47,451.26 1374.54,455.862 \n  1379.61,460.643 1384.68,465.591 1389.74,470.697 1394.81,475.95 1399.88,481.337 1404.95,486.847 1410.02,492.468 1415.09,498.189 1420.16,503.997 1425.22,509.879 \n  1430.29,515.823 1435.36,521.817 1440.43,527.847 1445.5,533.901 1450.57,539.967 1455.64,546.031 1460.7,552.081 1465.77,558.105 1470.84,564.089 1475.91,570.023 \n  1480.98,575.894 1486.05,581.69 1491.11,587.399 1496.18,593.011 1501.25,598.515 1506.32,603.9 1511.39,609.156 1516.46,614.274 1521.53,619.244 1526.59,624.057 \n  1531.66,628.705 1536.73,633.181 1541.8,637.477 1546.87,641.586 1551.94,645.504 1557,649.223 1562.07,652.74 1567.14,656.051 1572.21,659.152 1577.28,662.04 \n  1582.35,664.714 1587.42,667.172 1592.48,669.414 1597.55,671.439 1602.62,673.249 1607.69,674.846 1612.76,676.232 1617.83,677.409 1622.89,678.383 1627.96,679.158 \n  1633.03,679.738 1638.1,680.131 1643.17,680.343 1648.24,680.382 1653.31,680.255 1658.37,679.973 1663.44,679.544 1668.51,678.979 1673.58,678.288 1678.65,677.484 \n  1683.72,676.577 1688.79,675.58 1693.85,674.507 1698.92,673.371 1703.99,672.185 1709.06,670.964 1714.13,669.722 1719.2,668.473 1724.26,667.233 1729.33,666.018 \n  1734.4,664.841 1739.47,663.719 1744.54,662.666 1749.61,661.698 1754.68,660.83 1759.74,660.077 1764.81,659.454 1769.88,658.974 1774.95,658.652 1780.02,658.502 \n  1785.09,658.536 1790.15,658.766 1795.22,659.205 1800.29,659.864 1805.36,660.752 1810.43,661.878 1815.5,663.252 1820.57,664.88 1825.63,666.768 1830.7,668.921 \n  1835.77,671.344 1840.84,674.038 1845.91,677.004 1850.98,680.242 1856.04,683.75 1861.11,687.524 1866.18,691.559 1871.25,695.847 1876.32,700.381 1881.39,705.148 \n  1886.46,710.138 1891.52,715.335 1896.59,720.722 1901.66,726.283 1906.73,731.995 1911.8,737.837 1916.87,743.785 1921.94,749.811 1927,755.887 1932.07,761.983 \n  1937.14,768.065 1942.21,774.1 1947.28,780.05 1952.35,785.878 1957.41,791.541 1962.48,796.999 1967.55,802.208 1972.62,807.121 1977.69,811.692 1982.76,815.872 \n  1987.83,819.613 1992.89,822.862 1997.96,825.569 2003.03,827.681 2008.1,829.146 2013.17,829.91 2018.24,829.921 2023.3,829.125 2028.37,827.47 2033.44,824.905 \n  2038.51,821.38 2043.58,816.846 2048.65,811.256 2053.72,804.566 2058.78,796.736 2063.85,787.726 2068.92,777.503 2073.99,766.036 2079.06,753.302 2084.13,739.28 \n  2089.19,723.957 2094.26,707.328 2099.33,689.393 2104.4,670.162 2109.47,649.655 2114.54,627.9 2119.61,604.937 2124.67,580.818 2129.74,555.608 2134.81,529.384 \n  2139.88,502.241 2144.95,474.287 2150.02,445.65 2155.09,416.474 2160.15,386.924 2165.22,357.187 2170.29,327.471 2175.36,298.008 2180.43,269.058 2185.5,240.905 \n  2190.56,213.864 2195.63,188.28 2200.7,164.53 2205.77,143.025 2210.84,124.214 2215.91,108.584 2220.98,96.6597 2226.04,89.0119 2231.11,86.2547 2236.18,89.0498 \n  2241.25,98.1087 2246.32,114.195 2251.39,138.129 2256.45,170.786 2261.52,213.103 2266.59,266.083 2271.66,330.792 2276.73,408.368 2281.8,500.022 2286.87,607.04 \n  2291.93,730.791 \n  \"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  264.542,730.791 467.282,723.957 670.021,710.138 872.76,676.577 1075.5,575.894 1278.24,408.089 1480.98,575.894 1683.72,676.577 1886.46,710.138 2089.19,723.957 \n  2291.93,730.791 \n  \"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"264.542\" cy=\"730.791\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"467.282\" cy=\"723.957\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"670.021\" cy=\"710.138\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"872.76\" cy=\"676.577\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"1075.5\" cy=\"575.894\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"1278.24\" cy=\"408.089\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"1480.98\" cy=\"575.894\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"1683.72\" cy=\"676.577\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"1886.46\" cy=\"710.138\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"2089.19\" cy=\"723.957\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4202)\" cx=\"2291.93\" cy=\"730.791\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<polyline clip-path=\"url(#clip4202)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  264.542,743.699 269.611,867.324 274.679,974.216 279.748,1065.74 284.816,1143.19 289.885,1207.76 294.953,1260.61 300.022,1302.79 305.09,1335.31 310.159,1359.1 \n  315.227,1375.05 320.296,1383.96 325.364,1386.61 330.433,1383.7 335.501,1375.9 340.57,1363.83 345.638,1348.04 350.707,1329.07 355.775,1307.4 360.844,1283.49 \n  365.912,1257.74 370.98,1230.53 376.049,1202.21 381.117,1173.08 386.186,1143.44 391.254,1113.55 396.323,1083.63 401.391,1053.89 406.46,1024.53 411.528,995.699 \n  416.597,967.551 421.665,940.21 426.734,913.785 431.802,888.37 436.871,864.043 441.939,840.869 447.008,818.899 452.076,798.173 457.145,778.72 462.213,760.559 \n  467.282,743.699 472.35,728.142 477.419,713.881 482.487,700.904 487.556,689.191 492.624,678.716 497.692,669.451 502.761,661.36 507.829,654.405 512.898,648.546 \n  517.966,643.737 523.035,639.932 528.103,637.082 533.172,635.136 538.24,634.045 543.309,633.754 548.377,634.211 553.446,635.363 558.514,637.156 563.583,639.538 \n  568.651,642.456 573.72,645.858 578.788,649.695 583.857,653.914 588.925,658.469 593.994,663.313 599.062,668.398 604.131,673.682 609.199,679.121 614.267,684.675 \n  619.336,690.306 624.404,695.977 629.473,701.652 634.541,707.299 639.61,712.886 644.678,718.386 649.747,723.771 654.815,729.017 659.884,734.1 664.952,739 \n  670.021,743.699 675.089,748.179 680.158,752.427 685.226,756.429 690.295,760.173 695.363,763.652 700.432,766.858 705.5,769.785 710.569,772.428 715.637,774.787 \n  720.706,776.858 725.774,778.644 730.843,780.146 735.911,781.367 740.979,782.312 746.048,782.987 751.116,783.397 756.185,783.552 761.253,783.459 766.322,783.129 \n  771.39,782.571 776.459,781.797 781.527,780.818 786.596,779.647 791.664,778.297 796.733,776.781 801.801,775.113 806.87,773.306 811.938,771.376 817.007,769.335 \n  822.075,767.198 827.144,764.981 832.212,762.697 837.281,760.36 842.349,757.985 847.418,755.587 852.486,753.177 857.554,750.771 862.623,748.381 867.691,746.019 \n  872.76,743.699 877.828,741.431 882.897,739.227 887.965,737.098 893.034,735.053 898.102,733.103 903.171,731.255 908.239,729.519 913.308,727.901 918.376,726.409 \n  923.445,725.048 928.513,723.823 933.582,722.739 938.65,721.8 943.719,721.009 948.787,720.367 953.856,719.876 958.924,719.536 963.993,719.348 969.061,719.309 \n  974.13,719.419 979.198,719.674 984.266,720.072 989.335,720.607 994.403,721.275 999.472,722.071 1004.54,722.989 1009.61,724.02 1014.68,725.159 1019.75,726.396 \n  1024.81,727.723 1029.88,729.13 1034.95,730.609 1040.02,732.148 1045.09,733.737 1050.16,735.366 1055.23,737.023 1060.29,738.696 1065.36,740.374 1070.43,742.046 \n  1075.5,743.699 1080.57,745.322 1085.64,746.903 1090.7,748.432 1095.77,749.897 1100.84,751.287 1105.91,752.592 1110.98,753.803 1116.05,754.91 1121.12,755.907 \n  1126.18,756.784 1131.25,757.537 1136.32,758.159 1141.39,758.648 1146.46,759 1151.53,759.213 1156.59,759.289 1161.66,759.228 1166.73,759.034 1171.8,758.711 \n  1176.87,758.267 1181.94,757.708 1187.01,757.044 1192.07,756.287 1197.14,755.449 1202.21,754.543 1207.28,753.585 1212.35,752.591 1217.42,751.576 1222.49,750.558 \n  1227.55,749.555 1232.62,748.584 1237.69,747.661 1242.76,746.804 1247.83,746.026 1252.9,745.343 1257.96,744.766 1263.03,744.305 1268.1,743.97 1273.17,743.767 \n  1278.24,743.699 1283.31,743.767 1288.38,743.97 1293.44,744.305 1298.51,744.766 1303.58,745.343 1308.65,746.026 1313.72,746.804 1318.79,747.661 1323.85,748.584 \n  1328.92,749.555 1333.99,750.558 1339.06,751.576 1344.13,752.591 1349.2,753.585 1354.27,754.543 1359.33,755.449 1364.4,756.287 1369.47,757.044 1374.54,757.708 \n  1379.61,758.267 1384.68,758.711 1389.74,759.034 1394.81,759.228 1399.88,759.289 1404.95,759.213 1410.02,759 1415.09,758.648 1420.16,758.159 1425.22,757.537 \n  1430.29,756.784 1435.36,755.907 1440.43,754.91 1445.5,753.803 1450.57,752.592 1455.64,751.287 1460.7,749.897 1465.77,748.432 1470.84,746.903 1475.91,745.322 \n  1480.98,743.699 1486.05,742.046 1491.11,740.374 1496.18,738.696 1501.25,737.023 1506.32,735.366 1511.39,733.737 1516.46,732.148 1521.53,730.609 1526.59,729.13 \n  1531.66,727.723 1536.73,726.396 1541.8,725.159 1546.87,724.02 1551.94,722.989 1557,722.071 1562.07,721.275 1567.14,720.607 1572.21,720.072 1577.28,719.674 \n  1582.35,719.419 1587.42,719.309 1592.48,719.348 1597.55,719.536 1602.62,719.876 1607.69,720.367 1612.76,721.009 1617.83,721.8 1622.89,722.739 1627.96,723.823 \n  1633.03,725.048 1638.1,726.409 1643.17,727.901 1648.24,729.519 1653.31,731.255 1658.37,733.103 1663.44,735.053 1668.51,737.098 1673.58,739.227 1678.65,741.431 \n  1683.72,743.699 1688.79,746.019 1693.85,748.381 1698.92,750.771 1703.99,753.177 1709.06,755.587 1714.13,757.985 1719.2,760.36 1724.26,762.697 1729.33,764.981 \n  1734.4,767.198 1739.47,769.335 1744.54,771.376 1749.61,773.306 1754.68,775.113 1759.74,776.781 1764.81,778.297 1769.88,779.647 1774.95,780.818 1780.02,781.797 \n  1785.09,782.571 1790.15,783.129 1795.22,783.459 1800.29,783.552 1805.36,783.397 1810.43,782.987 1815.5,782.312 1820.57,781.367 1825.63,780.146 1830.7,778.644 \n  1835.77,776.858 1840.84,774.787 1845.91,772.428 1850.98,769.785 1856.04,766.858 1861.11,763.652 1866.18,760.173 1871.25,756.429 1876.32,752.427 1881.39,748.179 \n  1886.46,743.699 1891.52,739 1896.59,734.1 1901.66,729.017 1906.73,723.771 1911.8,718.386 1916.87,712.886 1921.94,707.299 1927,701.652 1932.07,695.977 \n  1937.14,690.306 1942.21,684.675 1947.28,679.121 1952.35,673.682 1957.41,668.398 1962.48,663.313 1967.55,658.469 1972.62,653.914 1977.69,649.695 1982.76,645.858 \n  1987.83,642.456 1992.89,639.538 1997.96,637.156 2003.03,635.363 2008.1,634.211 2013.17,633.754 2018.24,634.045 2023.3,635.136 2028.37,637.082 2033.44,639.932 \n  2038.51,643.737 2043.58,648.546 2048.65,654.405 2053.72,661.36 2058.78,669.451 2063.85,678.716 2068.92,689.191 2073.99,700.904 2079.06,713.881 2084.13,728.142 \n  2089.19,743.699 2094.26,760.559 2099.33,778.72 2104.4,798.173 2109.47,818.899 2114.54,840.869 2119.61,864.043 2124.67,888.37 2129.74,913.785 2134.81,940.21 \n  2139.88,967.551 2144.95,995.699 2150.02,1024.53 2155.09,1053.89 2160.15,1083.63 2165.22,1113.55 2170.29,1143.44 2175.36,1173.08 2180.43,1202.21 2185.5,1230.53 \n  2190.56,1257.74 2195.63,1283.49 2200.7,1307.4 2205.77,1329.07 2210.84,1348.04 2215.91,1363.83 2220.98,1375.9 2226.04,1383.7 2231.11,1386.61 2236.18,1383.96 \n  2241.25,1375.05 2246.32,1359.1 2251.39,1335.31 2256.45,1302.79 2261.52,1260.61 2266.59,1207.76 2271.66,1143.19 2276.73,1065.74 2281.8,974.216 2286.87,867.324 \n  2291.93,743.699 \n  \"/>\n<path clip-path=\"url(#clip4200)\" d=\"\nM1489.67 433.164 L2280.76 433.164 L2280.76 130.764 L1489.67 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1489.67,433.164 2280.76,433.164 2280.76,130.764 1489.67,130.764 1489.67,433.164 \n  \"/>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,191.244 1657.67,191.244 \n  \"/>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,251.724 1657.67,251.724 \n  \"/>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 1</text>\n</g>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1513.67,312.204 1657.67,312.204 \n  \"/>\n<circle clip-path=\"url(#clip4200)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n</g>\n<polyline clip-path=\"url(#clip4200)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,372.684 1657.67,372.684 \n  \"/>\n<g clip-path=\"url(#clip4200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 390.184)\" x=\"1681.67\" y=\"390.184\">Err</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip4500\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip4500)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip4501\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip4500)\" d=\"\n",
       "M203.721 1425.62 L2352.76 1425.62 L2352.76 47.2441 L203.721 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip4502\">\n",
       "    <rect x=\"203\" y=\"47\" width=\"2150\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  264.542,1425.62 264.542,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  771.39,1425.62 771.39,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1278.24,1425.62 1278.24,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1785.09,1425.62 1785.09,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2291.93,1425.62 2291.93,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  203.721,1414.92 2352.76,1414.92 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  203.721,1079.31 2352.76,1079.31 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  203.721,743.699 2352.76,743.699 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  203.721,408.089 2352.76,408.089 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  203.721,72.4785 2352.76,72.4785 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,1425.62 203.721,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  264.542,1425.62 264.542,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  771.39,1425.62 771.39,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1278.24,1425.62 1278.24,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1785.09,1425.62 1785.09,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2291.93,1425.62 2291.93,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,1414.92 229.509,1414.92 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,1079.31 229.509,1079.31 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,743.699 229.509,743.699 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,408.089 229.509,408.089 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  203.721,72.4785 229.509,72.4785 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 264.542, 1479.62)\" x=\"264.542\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 771.39, 1479.62)\" x=\"771.39\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1278.24, 1479.62)\" x=\"1278.24\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1785.09, 1479.62)\" x=\"1785.09\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2291.93, 1479.62)\" x=\"2291.93\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 1432.42)\" x=\"179.721\" y=\"1432.42\">-2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 1096.81)\" x=\"179.721\" y=\"1096.81\">-1</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 761.199)\" x=\"179.721\" y=\"761.199\">0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 425.589)\" x=\"179.721\" y=\"425.589\">1</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 179.721, 89.9785)\" x=\"179.721\" y=\"89.9785\">2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1278.24, 1559.48)\" x=\"1278.24\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  264.542,730.791 269.611,730.666 274.679,730.539 279.748,730.41 284.816,730.28 289.885,730.147 294.953,730.013 300.022,729.877 305.09,729.738 310.159,729.598 \n",
       "  315.227,729.455 320.296,729.311 325.364,729.164 330.433,729.015 335.501,728.864 340.57,728.71 345.638,728.554 350.707,728.396 355.775,728.235 360.844,728.071 \n",
       "  365.912,727.905 370.98,727.737 376.049,727.566 381.117,727.392 386.186,727.215 391.254,727.035 396.323,726.853 401.391,726.668 406.46,726.479 411.528,726.288 \n",
       "  416.597,726.093 421.665,725.895 426.734,725.694 431.802,725.489 436.871,725.281 441.939,725.07 447.008,724.855 452.076,724.636 457.145,724.414 462.213,724.187 \n",
       "  467.282,723.957 472.35,723.723 477.419,723.484 482.487,723.242 487.556,722.995 492.624,722.744 497.692,722.488 502.761,722.227 507.829,721.962 512.898,721.692 \n",
       "  517.966,721.418 523.035,721.138 528.103,720.853 533.172,720.562 538.24,720.266 543.309,719.965 548.377,719.658 553.446,719.345 558.514,719.026 563.583,718.701 \n",
       "  568.651,718.37 573.72,718.032 578.788,717.688 583.857,717.336 588.925,716.978 593.994,716.613 599.062,716.24 604.131,715.86 609.199,715.473 614.267,715.077 \n",
       "  619.336,714.673 624.404,714.261 629.473,713.84 634.541,713.411 639.61,712.972 644.678,712.525 649.747,712.067 654.815,711.6 659.884,711.123 664.952,710.636 \n",
       "  670.021,710.138 675.089,709.629 680.158,709.109 685.226,708.577 690.295,708.034 695.363,707.478 700.432,706.91 705.5,706.328 710.569,705.734 715.637,705.126 \n",
       "  720.706,704.503 725.774,703.867 730.843,703.215 735.911,702.548 740.979,701.865 746.048,701.166 751.116,700.45 756.185,699.717 761.253,698.966 766.322,698.196 \n",
       "  771.39,697.408 776.459,696.6 781.527,695.772 786.596,694.923 791.664,694.052 796.733,693.16 801.801,692.245 806.87,691.306 811.938,690.343 817.007,689.354 \n",
       "  822.075,688.34 827.144,687.3 832.212,686.231 837.281,685.134 842.349,684.008 847.418,682.852 852.486,681.664 857.554,680.443 862.623,679.189 867.691,677.901 \n",
       "  872.76,676.577 877.828,675.216 882.897,673.816 887.965,672.378 893.034,670.898 898.102,669.377 903.171,667.812 908.239,666.202 913.308,664.545 918.376,662.841 \n",
       "  923.445,661.087 928.513,659.282 933.582,657.424 938.65,655.511 943.719,653.542 948.787,651.514 953.856,649.426 958.924,647.276 963.993,645.062 969.061,642.782 \n",
       "  974.13,640.434 979.198,638.016 984.266,635.525 989.335,632.959 994.403,630.317 999.472,627.596 1004.54,624.794 1009.61,621.908 1014.68,618.937 1019.75,615.878 \n",
       "  1024.81,612.729 1029.88,609.488 1034.95,606.154 1040.02,602.723 1045.09,599.195 1050.16,595.567 1055.23,591.839 1060.29,588.008 1065.36,584.074 1070.43,580.036 \n",
       "  1075.5,575.894 1080.57,571.646 1085.64,567.294 1090.7,562.838 1095.77,558.279 1100.84,553.619 1105.91,548.86 1110.98,544.005 1116.05,539.058 1121.12,534.024 \n",
       "  1126.18,528.908 1131.25,523.717 1136.32,518.457 1141.39,513.138 1146.46,507.769 1151.53,502.361 1156.59,496.927 1161.66,491.479 1166.73,486.033 1171.8,480.604 \n",
       "  1176.87,475.211 1181.94,469.871 1187.01,464.605 1192.07,459.434 1197.14,454.38 1202.21,449.465 1207.28,444.714 1212.35,440.151 1217.42,435.8 1222.49,431.685 \n",
       "  1227.55,427.83 1232.62,424.26 1237.69,420.997 1242.76,418.061 1247.83,415.474 1252.9,413.252 1257.96,411.412 1263.03,409.966 1268.1,408.926 1273.17,408.298 \n",
       "  1278.24,408.089 1283.31,408.298 1288.38,408.926 1293.44,409.966 1298.51,411.412 1303.58,413.252 1308.65,415.474 1313.72,418.061 1318.79,420.997 1323.85,424.26 \n",
       "  1328.92,427.83 1333.99,431.685 1339.06,435.8 1344.13,440.151 1349.2,444.714 1354.27,449.465 1359.33,454.38 1364.4,459.434 1369.47,464.605 1374.54,469.871 \n",
       "  1379.61,475.211 1384.68,480.604 1389.74,486.033 1394.81,491.479 1399.88,496.927 1404.95,502.361 1410.02,507.769 1415.09,513.138 1420.16,518.457 1425.22,523.717 \n",
       "  1430.29,528.908 1435.36,534.024 1440.43,539.058 1445.5,544.005 1450.57,548.86 1455.64,553.619 1460.7,558.279 1465.77,562.838 1470.84,567.294 1475.91,571.646 \n",
       "  1480.98,575.894 1486.05,580.036 1491.11,584.074 1496.18,588.008 1501.25,591.839 1506.32,595.567 1511.39,599.195 1516.46,602.723 1521.53,606.154 1526.59,609.488 \n",
       "  1531.66,612.729 1536.73,615.878 1541.8,618.937 1546.87,621.908 1551.94,624.794 1557,627.596 1562.07,630.317 1567.14,632.959 1572.21,635.525 1577.28,638.016 \n",
       "  1582.35,640.434 1587.42,642.782 1592.48,645.062 1597.55,647.276 1602.62,649.426 1607.69,651.514 1612.76,653.542 1617.83,655.511 1622.89,657.424 1627.96,659.282 \n",
       "  1633.03,661.087 1638.1,662.841 1643.17,664.545 1648.24,666.202 1653.31,667.812 1658.37,669.377 1663.44,670.898 1668.51,672.378 1673.58,673.816 1678.65,675.216 \n",
       "  1683.72,676.577 1688.79,677.901 1693.85,679.189 1698.92,680.443 1703.99,681.664 1709.06,682.852 1714.13,684.008 1719.2,685.134 1724.26,686.231 1729.33,687.3 \n",
       "  1734.4,688.34 1739.47,689.354 1744.54,690.343 1749.61,691.306 1754.68,692.245 1759.74,693.16 1764.81,694.052 1769.88,694.923 1774.95,695.772 1780.02,696.6 \n",
       "  1785.09,697.408 1790.15,698.196 1795.22,698.966 1800.29,699.717 1805.36,700.45 1810.43,701.166 1815.5,701.865 1820.57,702.548 1825.63,703.215 1830.7,703.867 \n",
       "  1835.77,704.503 1840.84,705.126 1845.91,705.734 1850.98,706.328 1856.04,706.91 1861.11,707.478 1866.18,708.034 1871.25,708.577 1876.32,709.109 1881.39,709.629 \n",
       "  1886.46,710.138 1891.52,710.636 1896.59,711.123 1901.66,711.6 1906.73,712.067 1911.8,712.525 1916.87,712.972 1921.94,713.411 1927,713.84 1932.07,714.261 \n",
       "  1937.14,714.673 1942.21,715.077 1947.28,715.473 1952.35,715.86 1957.41,716.24 1962.48,716.613 1967.55,716.978 1972.62,717.336 1977.69,717.688 1982.76,718.032 \n",
       "  1987.83,718.37 1992.89,718.701 1997.96,719.026 2003.03,719.345 2008.1,719.658 2013.17,719.965 2018.24,720.266 2023.3,720.562 2028.37,720.853 2033.44,721.138 \n",
       "  2038.51,721.418 2043.58,721.692 2048.65,721.962 2053.72,722.227 2058.78,722.488 2063.85,722.744 2068.92,722.995 2073.99,723.242 2079.06,723.484 2084.13,723.723 \n",
       "  2089.19,723.957 2094.26,724.187 2099.33,724.414 2104.4,724.636 2109.47,724.855 2114.54,725.07 2119.61,725.281 2124.67,725.489 2129.74,725.694 2134.81,725.895 \n",
       "  2139.88,726.093 2144.95,726.288 2150.02,726.479 2155.09,726.668 2160.15,726.853 2165.22,727.035 2170.29,727.215 2175.36,727.392 2180.43,727.566 2185.5,727.737 \n",
       "  2190.56,727.905 2195.63,728.071 2200.7,728.235 2205.77,728.396 2210.84,728.554 2215.91,728.71 2220.98,728.864 2226.04,729.015 2231.11,729.164 2236.18,729.311 \n",
       "  2241.25,729.455 2246.32,729.598 2251.39,729.738 2256.45,729.877 2261.52,730.013 2266.59,730.147 2271.66,730.28 2276.73,730.41 2281.8,730.539 2286.87,730.666 \n",
       "  2291.93,730.791 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  264.542,730.791 269.611,607.04 274.679,500.022 279.748,408.368 284.816,330.792 289.885,266.083 294.953,213.103 300.022,170.786 305.09,138.129 310.159,114.195 \n",
       "  315.227,98.1087 320.296,89.0498 325.364,86.2547 330.433,89.0119 335.501,96.6597 340.57,108.584 345.638,124.214 350.707,143.025 355.775,164.53 360.844,188.28 \n",
       "  365.912,213.864 370.98,240.905 376.049,269.058 381.117,298.008 386.186,327.471 391.254,357.187 396.323,386.924 401.391,416.474 406.46,445.65 411.528,474.287 \n",
       "  416.597,502.241 421.665,529.384 426.734,555.608 431.802,580.818 436.871,604.937 441.939,627.9 447.008,649.655 452.076,670.162 457.145,689.393 462.213,707.328 \n",
       "  467.282,723.957 472.35,739.28 477.419,753.302 482.487,766.036 487.556,777.503 492.624,787.726 497.692,796.736 502.761,804.566 507.829,811.256 512.898,816.846 \n",
       "  517.966,821.38 523.035,824.905 528.103,827.47 533.172,829.125 538.24,829.921 543.309,829.91 548.377,829.146 553.446,827.681 558.514,825.569 563.583,822.862 \n",
       "  568.651,819.613 573.72,815.872 578.788,811.692 583.857,807.121 588.925,802.208 593.994,796.999 599.062,791.541 604.131,785.878 609.199,780.05 614.267,774.1 \n",
       "  619.336,768.065 624.404,761.983 629.473,755.887 634.541,749.811 639.61,743.785 644.678,737.837 649.747,731.995 654.815,726.283 659.884,720.722 664.952,715.335 \n",
       "  670.021,710.138 675.089,705.148 680.158,700.381 685.226,695.847 690.295,691.559 695.363,687.524 700.432,683.75 705.5,680.242 710.569,677.004 715.637,674.038 \n",
       "  720.706,671.344 725.774,668.921 730.843,666.768 735.911,664.88 740.979,663.252 746.048,661.878 751.116,660.752 756.185,659.864 761.253,659.205 766.322,658.766 \n",
       "  771.39,658.536 776.459,658.502 781.527,658.652 786.596,658.974 791.664,659.454 796.733,660.077 801.801,660.83 806.87,661.698 811.938,662.666 817.007,663.719 \n",
       "  822.075,664.841 827.144,666.018 832.212,667.233 837.281,668.473 842.349,669.722 847.418,670.964 852.486,672.185 857.554,673.371 862.623,674.507 867.691,675.58 \n",
       "  872.76,676.577 877.828,677.484 882.897,678.288 887.965,678.979 893.034,679.544 898.102,679.973 903.171,680.255 908.239,680.382 913.308,680.343 918.376,680.131 \n",
       "  923.445,679.738 928.513,679.158 933.582,678.383 938.65,677.409 943.719,676.232 948.787,674.846 953.856,673.249 958.924,671.439 963.993,669.414 969.061,667.172 \n",
       "  974.13,664.714 979.198,662.04 984.266,659.152 989.335,656.051 994.403,652.74 999.472,649.223 1004.54,645.504 1009.61,641.586 1014.68,637.477 1019.75,633.181 \n",
       "  1024.81,628.705 1029.88,624.057 1034.95,619.244 1040.02,614.274 1045.09,609.156 1050.16,603.9 1055.23,598.515 1060.29,593.011 1065.36,587.399 1070.43,581.69 \n",
       "  1075.5,575.894 1080.57,570.023 1085.64,564.089 1090.7,558.105 1095.77,552.081 1100.84,546.031 1105.91,539.967 1110.98,533.901 1116.05,527.847 1121.12,521.817 \n",
       "  1126.18,515.823 1131.25,509.879 1136.32,503.997 1141.39,498.189 1146.46,492.468 1151.53,486.847 1156.59,481.337 1161.66,475.95 1166.73,470.697 1171.8,465.591 \n",
       "  1176.87,460.643 1181.94,455.862 1187.01,451.26 1192.07,446.846 1197.14,442.63 1202.21,438.621 1207.28,434.828 1212.35,431.259 1217.42,427.922 1222.49,424.825 \n",
       "  1227.55,421.974 1232.62,419.375 1237.69,417.034 1242.76,414.956 1247.83,413.146 1252.9,411.608 1257.96,410.345 1263.03,409.359 1268.1,408.654 1273.17,408.23 \n",
       "  1278.24,408.089 1283.31,408.23 1288.38,408.654 1293.44,409.359 1298.51,410.345 1303.58,411.608 1308.65,413.146 1313.72,414.956 1318.79,417.034 1323.85,419.375 \n",
       "  1328.92,421.974 1333.99,424.825 1339.06,427.922 1344.13,431.259 1349.2,434.828 1354.27,438.621 1359.33,442.63 1364.4,446.846 1369.47,451.26 1374.54,455.862 \n",
       "  1379.61,460.643 1384.68,465.591 1389.74,470.697 1394.81,475.95 1399.88,481.337 1404.95,486.847 1410.02,492.468 1415.09,498.189 1420.16,503.997 1425.22,509.879 \n",
       "  1430.29,515.823 1435.36,521.817 1440.43,527.847 1445.5,533.901 1450.57,539.967 1455.64,546.031 1460.7,552.081 1465.77,558.105 1470.84,564.089 1475.91,570.023 \n",
       "  1480.98,575.894 1486.05,581.69 1491.11,587.399 1496.18,593.011 1501.25,598.515 1506.32,603.9 1511.39,609.156 1516.46,614.274 1521.53,619.244 1526.59,624.057 \n",
       "  1531.66,628.705 1536.73,633.181 1541.8,637.477 1546.87,641.586 1551.94,645.504 1557,649.223 1562.07,652.74 1567.14,656.051 1572.21,659.152 1577.28,662.04 \n",
       "  1582.35,664.714 1587.42,667.172 1592.48,669.414 1597.55,671.439 1602.62,673.249 1607.69,674.846 1612.76,676.232 1617.83,677.409 1622.89,678.383 1627.96,679.158 \n",
       "  1633.03,679.738 1638.1,680.131 1643.17,680.343 1648.24,680.382 1653.31,680.255 1658.37,679.973 1663.44,679.544 1668.51,678.979 1673.58,678.288 1678.65,677.484 \n",
       "  1683.72,676.577 1688.79,675.58 1693.85,674.507 1698.92,673.371 1703.99,672.185 1709.06,670.964 1714.13,669.722 1719.2,668.473 1724.26,667.233 1729.33,666.018 \n",
       "  1734.4,664.841 1739.47,663.719 1744.54,662.666 1749.61,661.698 1754.68,660.83 1759.74,660.077 1764.81,659.454 1769.88,658.974 1774.95,658.652 1780.02,658.502 \n",
       "  1785.09,658.536 1790.15,658.766 1795.22,659.205 1800.29,659.864 1805.36,660.752 1810.43,661.878 1815.5,663.252 1820.57,664.88 1825.63,666.768 1830.7,668.921 \n",
       "  1835.77,671.344 1840.84,674.038 1845.91,677.004 1850.98,680.242 1856.04,683.75 1861.11,687.524 1866.18,691.559 1871.25,695.847 1876.32,700.381 1881.39,705.148 \n",
       "  1886.46,710.138 1891.52,715.335 1896.59,720.722 1901.66,726.283 1906.73,731.995 1911.8,737.837 1916.87,743.785 1921.94,749.811 1927,755.887 1932.07,761.983 \n",
       "  1937.14,768.065 1942.21,774.1 1947.28,780.05 1952.35,785.878 1957.41,791.541 1962.48,796.999 1967.55,802.208 1972.62,807.121 1977.69,811.692 1982.76,815.872 \n",
       "  1987.83,819.613 1992.89,822.862 1997.96,825.569 2003.03,827.681 2008.1,829.146 2013.17,829.91 2018.24,829.921 2023.3,829.125 2028.37,827.47 2033.44,824.905 \n",
       "  2038.51,821.38 2043.58,816.846 2048.65,811.256 2053.72,804.566 2058.78,796.736 2063.85,787.726 2068.92,777.503 2073.99,766.036 2079.06,753.302 2084.13,739.28 \n",
       "  2089.19,723.957 2094.26,707.328 2099.33,689.393 2104.4,670.162 2109.47,649.655 2114.54,627.9 2119.61,604.937 2124.67,580.818 2129.74,555.608 2134.81,529.384 \n",
       "  2139.88,502.241 2144.95,474.287 2150.02,445.65 2155.09,416.474 2160.15,386.924 2165.22,357.187 2170.29,327.471 2175.36,298.008 2180.43,269.058 2185.5,240.905 \n",
       "  2190.56,213.864 2195.63,188.28 2200.7,164.53 2205.77,143.025 2210.84,124.214 2215.91,108.584 2220.98,96.6597 2226.04,89.0119 2231.11,86.2547 2236.18,89.0498 \n",
       "  2241.25,98.1087 2246.32,114.195 2251.39,138.129 2256.45,170.786 2261.52,213.103 2266.59,266.083 2271.66,330.792 2276.73,408.368 2281.8,500.022 2286.87,607.04 \n",
       "  2291.93,730.791 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  264.542,730.791 467.282,723.957 670.021,710.138 872.76,676.577 1075.5,575.894 1278.24,408.089 1480.98,575.894 1683.72,676.577 1886.46,710.138 2089.19,723.957 \n",
       "  2291.93,730.791 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"264.542\" cy=\"730.791\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"467.282\" cy=\"723.957\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"670.021\" cy=\"710.138\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"872.76\" cy=\"676.577\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"1075.5\" cy=\"575.894\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"1278.24\" cy=\"408.089\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"1480.98\" cy=\"575.894\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"1683.72\" cy=\"676.577\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"1886.46\" cy=\"710.138\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"2089.19\" cy=\"723.957\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip4502)\" cx=\"2291.93\" cy=\"730.791\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<polyline clip-path=\"url(#clip4502)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  264.542,743.699 269.611,867.324 274.679,974.216 279.748,1065.74 284.816,1143.19 289.885,1207.76 294.953,1260.61 300.022,1302.79 305.09,1335.31 310.159,1359.1 \n",
       "  315.227,1375.05 320.296,1383.96 325.364,1386.61 330.433,1383.7 335.501,1375.9 340.57,1363.83 345.638,1348.04 350.707,1329.07 355.775,1307.4 360.844,1283.49 \n",
       "  365.912,1257.74 370.98,1230.53 376.049,1202.21 381.117,1173.08 386.186,1143.44 391.254,1113.55 396.323,1083.63 401.391,1053.89 406.46,1024.53 411.528,995.699 \n",
       "  416.597,967.551 421.665,940.21 426.734,913.785 431.802,888.37 436.871,864.043 441.939,840.869 447.008,818.899 452.076,798.173 457.145,778.72 462.213,760.559 \n",
       "  467.282,743.699 472.35,728.142 477.419,713.881 482.487,700.904 487.556,689.191 492.624,678.716 497.692,669.451 502.761,661.36 507.829,654.405 512.898,648.546 \n",
       "  517.966,643.737 523.035,639.932 528.103,637.082 533.172,635.136 538.24,634.045 543.309,633.754 548.377,634.211 553.446,635.363 558.514,637.156 563.583,639.538 \n",
       "  568.651,642.456 573.72,645.858 578.788,649.695 583.857,653.914 588.925,658.469 593.994,663.313 599.062,668.398 604.131,673.682 609.199,679.121 614.267,684.675 \n",
       "  619.336,690.306 624.404,695.977 629.473,701.652 634.541,707.299 639.61,712.886 644.678,718.386 649.747,723.771 654.815,729.017 659.884,734.1 664.952,739 \n",
       "  670.021,743.699 675.089,748.179 680.158,752.427 685.226,756.429 690.295,760.173 695.363,763.652 700.432,766.858 705.5,769.785 710.569,772.428 715.637,774.787 \n",
       "  720.706,776.858 725.774,778.644 730.843,780.146 735.911,781.367 740.979,782.312 746.048,782.987 751.116,783.397 756.185,783.552 761.253,783.459 766.322,783.129 \n",
       "  771.39,782.571 776.459,781.797 781.527,780.818 786.596,779.647 791.664,778.297 796.733,776.781 801.801,775.113 806.87,773.306 811.938,771.376 817.007,769.335 \n",
       "  822.075,767.198 827.144,764.981 832.212,762.697 837.281,760.36 842.349,757.985 847.418,755.587 852.486,753.177 857.554,750.771 862.623,748.381 867.691,746.019 \n",
       "  872.76,743.699 877.828,741.431 882.897,739.227 887.965,737.098 893.034,735.053 898.102,733.103 903.171,731.255 908.239,729.519 913.308,727.901 918.376,726.409 \n",
       "  923.445,725.048 928.513,723.823 933.582,722.739 938.65,721.8 943.719,721.009 948.787,720.367 953.856,719.876 958.924,719.536 963.993,719.348 969.061,719.309 \n",
       "  974.13,719.419 979.198,719.674 984.266,720.072 989.335,720.607 994.403,721.275 999.472,722.071 1004.54,722.989 1009.61,724.02 1014.68,725.159 1019.75,726.396 \n",
       "  1024.81,727.723 1029.88,729.13 1034.95,730.609 1040.02,732.148 1045.09,733.737 1050.16,735.366 1055.23,737.023 1060.29,738.696 1065.36,740.374 1070.43,742.046 \n",
       "  1075.5,743.699 1080.57,745.322 1085.64,746.903 1090.7,748.432 1095.77,749.897 1100.84,751.287 1105.91,752.592 1110.98,753.803 1116.05,754.91 1121.12,755.907 \n",
       "  1126.18,756.784 1131.25,757.537 1136.32,758.159 1141.39,758.648 1146.46,759 1151.53,759.213 1156.59,759.289 1161.66,759.228 1166.73,759.034 1171.8,758.711 \n",
       "  1176.87,758.267 1181.94,757.708 1187.01,757.044 1192.07,756.287 1197.14,755.449 1202.21,754.543 1207.28,753.585 1212.35,752.591 1217.42,751.576 1222.49,750.558 \n",
       "  1227.55,749.555 1232.62,748.584 1237.69,747.661 1242.76,746.804 1247.83,746.026 1252.9,745.343 1257.96,744.766 1263.03,744.305 1268.1,743.97 1273.17,743.767 \n",
       "  1278.24,743.699 1283.31,743.767 1288.38,743.97 1293.44,744.305 1298.51,744.766 1303.58,745.343 1308.65,746.026 1313.72,746.804 1318.79,747.661 1323.85,748.584 \n",
       "  1328.92,749.555 1333.99,750.558 1339.06,751.576 1344.13,752.591 1349.2,753.585 1354.27,754.543 1359.33,755.449 1364.4,756.287 1369.47,757.044 1374.54,757.708 \n",
       "  1379.61,758.267 1384.68,758.711 1389.74,759.034 1394.81,759.228 1399.88,759.289 1404.95,759.213 1410.02,759 1415.09,758.648 1420.16,758.159 1425.22,757.537 \n",
       "  1430.29,756.784 1435.36,755.907 1440.43,754.91 1445.5,753.803 1450.57,752.592 1455.64,751.287 1460.7,749.897 1465.77,748.432 1470.84,746.903 1475.91,745.322 \n",
       "  1480.98,743.699 1486.05,742.046 1491.11,740.374 1496.18,738.696 1501.25,737.023 1506.32,735.366 1511.39,733.737 1516.46,732.148 1521.53,730.609 1526.59,729.13 \n",
       "  1531.66,727.723 1536.73,726.396 1541.8,725.159 1546.87,724.02 1551.94,722.989 1557,722.071 1562.07,721.275 1567.14,720.607 1572.21,720.072 1577.28,719.674 \n",
       "  1582.35,719.419 1587.42,719.309 1592.48,719.348 1597.55,719.536 1602.62,719.876 1607.69,720.367 1612.76,721.009 1617.83,721.8 1622.89,722.739 1627.96,723.823 \n",
       "  1633.03,725.048 1638.1,726.409 1643.17,727.901 1648.24,729.519 1653.31,731.255 1658.37,733.103 1663.44,735.053 1668.51,737.098 1673.58,739.227 1678.65,741.431 \n",
       "  1683.72,743.699 1688.79,746.019 1693.85,748.381 1698.92,750.771 1703.99,753.177 1709.06,755.587 1714.13,757.985 1719.2,760.36 1724.26,762.697 1729.33,764.981 \n",
       "  1734.4,767.198 1739.47,769.335 1744.54,771.376 1749.61,773.306 1754.68,775.113 1759.74,776.781 1764.81,778.297 1769.88,779.647 1774.95,780.818 1780.02,781.797 \n",
       "  1785.09,782.571 1790.15,783.129 1795.22,783.459 1800.29,783.552 1805.36,783.397 1810.43,782.987 1815.5,782.312 1820.57,781.367 1825.63,780.146 1830.7,778.644 \n",
       "  1835.77,776.858 1840.84,774.787 1845.91,772.428 1850.98,769.785 1856.04,766.858 1861.11,763.652 1866.18,760.173 1871.25,756.429 1876.32,752.427 1881.39,748.179 \n",
       "  1886.46,743.699 1891.52,739 1896.59,734.1 1901.66,729.017 1906.73,723.771 1911.8,718.386 1916.87,712.886 1921.94,707.299 1927,701.652 1932.07,695.977 \n",
       "  1937.14,690.306 1942.21,684.675 1947.28,679.121 1952.35,673.682 1957.41,668.398 1962.48,663.313 1967.55,658.469 1972.62,653.914 1977.69,649.695 1982.76,645.858 \n",
       "  1987.83,642.456 1992.89,639.538 1997.96,637.156 2003.03,635.363 2008.1,634.211 2013.17,633.754 2018.24,634.045 2023.3,635.136 2028.37,637.082 2033.44,639.932 \n",
       "  2038.51,643.737 2043.58,648.546 2048.65,654.405 2053.72,661.36 2058.78,669.451 2063.85,678.716 2068.92,689.191 2073.99,700.904 2079.06,713.881 2084.13,728.142 \n",
       "  2089.19,743.699 2094.26,760.559 2099.33,778.72 2104.4,798.173 2109.47,818.899 2114.54,840.869 2119.61,864.043 2124.67,888.37 2129.74,913.785 2134.81,940.21 \n",
       "  2139.88,967.551 2144.95,995.699 2150.02,1024.53 2155.09,1053.89 2160.15,1083.63 2165.22,1113.55 2170.29,1143.44 2175.36,1173.08 2180.43,1202.21 2185.5,1230.53 \n",
       "  2190.56,1257.74 2195.63,1283.49 2200.7,1307.4 2205.77,1329.07 2210.84,1348.04 2215.91,1363.83 2220.98,1375.9 2226.04,1383.7 2231.11,1386.61 2236.18,1383.96 \n",
       "  2241.25,1375.05 2246.32,1359.1 2251.39,1335.31 2256.45,1302.79 2261.52,1260.61 2266.59,1207.76 2271.66,1143.19 2276.73,1065.74 2281.8,974.216 2286.87,867.324 \n",
       "  2291.93,743.699 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip4500)\" d=\"\n",
       "M1489.67 433.164 L2280.76 433.164 L2280.76 130.764 L1489.67 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1489.67,433.164 2280.76,433.164 2280.76,130.764 1489.67,130.764 1489.67,433.164 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,191.244 1657.67,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,251.724 1657.67,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 1</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,312.204 1657.67,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip4500)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4500)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,372.684 1657.67,372.684 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 390.184)\" x=\"1681.67\" y=\"390.184\">Err</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=4}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "println(maximum(abs.(yy_ori .- yy_int)))\n",
    "Plots.plot!(xx, yy_ori .- yy_int, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Err\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 插值积分公式\n",
    "\n",
    "### 插值积分公式推导\n",
    "\n",
    "插值积分公式的积分系数由对拉格朗日基函数数值积分解算出，\n",
    "\n",
    "$$A_i=\\int_{-1}^1{l_i(x)\\mathrm{d}x}$$\n",
    "\n",
    "从$A_0$到$A_{10}$分别为\n",
    "\n",
    "| 积分系数 | 值 |\n",
    "| --- | --- |\n",
    "| $A_0$ | 0.053668296808746276 |\n",
    "| $A_1$ | 0.3550718822255464 |\n",
    "| $A_2$ | -0.16208713901785288 |\n",
    "| $A_3$ | 0.909892571434677 |\n",
    "| $A_4$ | -0.8703102370720973 |\n",
    "| $A_5$ | 1.4275292512419655 |\n",
    "| $A_6$ | -0.870310237072098 |\n",
    "| $A_7$ | 0.9098925714346765 |\n",
    "| $A_8$ | -0.16208713901785313 |\n",
    "| $A_9$ | 0.3550718822255466 |\n",
    "| $A_{10}$ | 0.053668296808746456 |\n",
    "\n",
    "\n",
    "于是可以得到插值积分公式，并计算其$[-1,1]$上的积分值为：\n",
    "$$\\int_{-1}^{1}{f(x)\\mathrm{d}x}\\approx\\sum_{i=0}^{n}{A_if(x_i)}=0.9346601080786883$$\n",
    "其中$A_i$由上面所求的序列给出。\n",
    "\n",
    "### 代数精度\n",
    "\n",
    "在区间$[-1,1]$上验算代数精度，因为必然有至少$n=10$阶代数精度，基函数取$f(x)=x^k,k=0,1,2,3,...$进行代数精度验证。\n",
    "\n",
    "由以下代码的数值演算，可知$n=10$时，在区间$[-1,1]$上此$10$阶Newton-Cotes插值积分公式具有**11**次代数精度。\n",
    "\n",
    "另一方面，由于其是偶次的Newton-Cotes公式，所以可知其是$n+1=11$次代数精度的。\n",
    "\n",
    "### 积分余项\n",
    "\n",
    "由于插值积分公式$\\sum_{i=0}^{n}{A_if(x_i)}$具有$11$次代数精度，所以对于任意$f(x)$，次公式的积分余项必然具有形式：\n",
    "\n",
    "$$R=\\int_{-1}^{1}{f(x)\\mathrm{d}x}-\\sum_{i=0}^{n}{A_if(x_i)}=Cf^{(12)}\\left(\\xi\\right)$$\n",
    "\n",
    "设$f\\left(x\\right)=x^{12}$，则有\n",
    "\n",
    "$$R=\\int_{-1}^{1}{x^{12}\\mathrm{d}x}-\\sum_{i=0}^{n}{A_ix_i^{12}}= \\frac{2}{13} - \\sum_{i=0}^{n}{A_ix_i^{12}} =Cf^{(12)}\\left(\\xi\\right)=C\\times12!$$\n",
    "\n",
    "而其中可以求得\n",
    "\n",
    "$$\\sum_{i=0}^{n}{A_ix_i^{12}}=0.15546216841055974$$\n",
    "\n",
    "所以\n",
    "\n",
    "$$C=\\frac{2/13-0.15546216841055974}{12!}=\\frac{-0.001616014564405882}{12!}$$\n",
    "\n",
    "所以积分余项可以写为：\n",
    "\n",
    "$$R=\\int_{-1}^{1}{f(x)\\mathrm{d}x}-\\sum_{i=0}^{n}{A_if(x_i)}=\\frac{-0.001616}{12!}f^{(12)}\\left(\\xi\\right)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.15546216841055974\n",
      "-0.001616014564405882\n"
     ]
    }
   ],
   "source": [
    "s = sum(A.*(xo.^12)')\n",
    "println(s)\n",
    "println(2/13 - s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "### 积分结果和误差估计\n",
    "\n",
    "由$10$阶插值型积分公式在$[-1,1]$上对$f(x)$进行积分，可以得到其积分值为0.9346601080786883。\n",
    "\n",
    "而由于$f(x)$的原函数为$F(x)=\\mathrm{a}\\tan x$，所以$$\\int_{-1}^{1}{f(x)\\mathrm{d}x}=\\frac{2}{5}\\mathrm{a}\\tan 5=0.5493603067780064$$\n",
    "所以插值积分公式和积分真值的误差为$$R=I-I_{n}=\\int_{-1}^{1}{f(x)\\mathrm{d}x}-\\sum_{i=0}^{n}{A_if_i(x_i)}=0.5493603067780064-0.9346601080786883=-0.38529980338700076$$\n",
    "相对误差为$-70.14\\%$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "polyint_2 (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不等距多项式插值\n",
    "function  polyint_2(n)\n",
    "    xo = (k->cos.((2*k .+ 1)/(2*n+2)*pi))(0:1:n)\n",
    "    \n",
    "\n",
    "    yo = HwMath.m_f(xo)\n",
    "    xx = -1:0.005:1\n",
    "    yy_ori = HwMath.m_f(xx)\n",
    "    \n",
    "    if n>0\n",
    "        A = zeros(1,n+1)\n",
    "        for i in 1:1:n+1\n",
    "            A[i] = HwMath.m_int_num(x->HwMath.m_l(x,i,xo),-1,1,n=800)\n",
    "        end\n",
    "        yy_int =HwMath.m_L(xx,xo,HwMath.m_f)\n",
    "    else\n",
    "        yy_int = 0\n",
    "        A = 0\n",
    "    end\n",
    "    return xo, yo, xx, yy_ori, yy_int, A\n",
    "end\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 切比雪夫点插值多项式插值\n",
    "## 插值函数及其误差\n",
    "### 函数图像及对比\n",
    "在区间[-1,1]上取$x_k=\\cos \\frac{2k+1}{2(n+1)}\\pi, k=0,1,2,...,n, n=10$，对函数$f(x)=\\frac{1}{1+25x^2}$作多项式插值，插值函数和$f(x)$的图像由代码作出，见下图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip4800\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip4800)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip4801\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip4800)\" d=\"\nM242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip4802\">\n    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  302.24,1425.62 302.24,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  799.938,1425.62 799.938,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,1379.72 2352.76,1379.72 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,1056.35 2352.76,1056.35 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,732.986 2352.76,732.986 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,409.62 2352.76,409.62 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 242.516,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  302.24,1425.62 302.24,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  799.938,1425.62 799.938,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1379.72 267.839,1379.72 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1056.35 267.839,1056.35 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,732.986 267.839,732.986 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,409.62 267.839,409.62 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,86.2547 267.839,86.2547 \n  \"/>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1397.22)\" x=\"218.516\" y=\"1397.22\">0.00</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1073.85)\" x=\"218.516\" y=\"1073.85\">0.25</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 750.486)\" x=\"218.516\" y=\"750.486\">0.50</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 427.12)\" x=\"218.516\" y=\"427.12\">0.75</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1329.97 307.217,1329.49 312.194,1329 317.171,1328.5 322.148,1328 327.125,1327.49 332.102,1326.97 337.079,1326.45 342.056,1325.91 347.033,1325.37 \n  352.01,1324.82 356.987,1324.27 361.964,1323.7 366.941,1323.13 371.918,1322.54 376.895,1321.95 381.872,1321.35 386.849,1320.74 391.826,1320.12 396.803,1319.49 \n  401.78,1318.85 406.757,1318.2 411.734,1317.54 416.711,1316.87 421.688,1316.19 426.665,1315.5 431.642,1314.79 436.619,1314.08 441.596,1313.35 446.573,1312.61 \n  451.55,1311.86 456.527,1311.1 461.504,1310.33 466.481,1309.54 471.458,1308.74 476.434,1307.92 481.411,1307.09 486.388,1306.25 491.365,1305.39 496.342,1304.52 \n  501.319,1303.63 506.296,1302.73 511.273,1301.81 516.25,1300.88 521.227,1299.92 526.204,1298.96 531.181,1297.97 536.158,1296.97 541.135,1295.94 546.112,1294.9 \n  551.089,1293.84 556.066,1292.77 561.043,1291.67 566.02,1290.55 570.997,1289.41 575.974,1288.25 580.951,1287.06 585.928,1285.86 590.905,1284.63 595.882,1283.38 \n  600.859,1282.1 605.836,1280.8 610.813,1279.47 615.79,1278.12 620.767,1276.74 625.744,1275.33 630.721,1273.89 635.698,1272.43 640.675,1270.93 645.652,1269.41 \n  650.629,1267.85 655.606,1266.26 660.583,1264.64 665.56,1262.99 670.537,1261.3 675.514,1259.57 680.491,1257.81 685.468,1256.01 690.445,1254.17 695.422,1252.29 \n  700.399,1250.37 705.376,1248.41 710.353,1246.41 715.33,1244.36 720.306,1242.26 725.283,1240.12 730.26,1237.93 735.237,1235.69 740.214,1233.4 745.191,1231.05 \n  750.168,1228.66 755.145,1226.2 760.122,1223.69 765.099,1221.12 770.076,1218.49 775.053,1215.79 780.03,1213.03 785.007,1210.21 789.984,1207.31 794.961,1204.35 \n  799.938,1201.31 804.915,1198.2 809.892,1195 814.869,1191.73 819.846,1188.38 824.823,1184.94 829.8,1181.41 834.777,1177.79 839.754,1174.08 844.731,1170.27 \n  849.708,1166.36 854.685,1162.35 859.662,1158.23 864.639,1154.01 869.616,1149.67 874.593,1145.21 879.57,1140.63 884.547,1135.93 889.524,1131.09 894.501,1126.13 \n  899.478,1121.03 904.455,1115.78 909.432,1110.39 914.409,1104.84 919.386,1099.14 924.363,1093.28 929.34,1087.24 934.317,1081.04 939.294,1074.66 944.271,1068.09 \n  949.248,1061.33 954.225,1054.37 959.202,1047.21 964.179,1039.84 969.155,1032.25 974.132,1024.43 979.109,1016.39 984.086,1008.1 989.063,999.567 994.04,990.78 \n  999.017,981.729 1003.99,972.408 1008.97,962.808 1013.95,952.92 1018.93,942.737 1023.9,932.25 1028.88,921.449 1033.86,910.328 1038.83,898.877 1043.81,887.087 \n  1048.79,874.952 1053.76,862.462 1058.74,849.61 1063.72,836.389 1068.7,822.791 1073.67,808.81 1078.65,794.44 1083.63,779.677 1088.6,764.515 1093.58,748.953 \n  1098.56,732.986 1103.53,716.616 1108.51,699.842 1113.49,682.668 1118.46,665.097 1123.44,647.137 1128.42,628.796 1133.4,610.086 1138.37,591.021 1143.35,571.619 \n  1148.33,551.901 1153.3,531.893 1158.28,511.622 1163.26,491.121 1168.23,470.429 1173.21,449.587 1178.19,428.642 1183.17,407.646 1188.14,386.656 1193.12,365.734 \n  1198.1,344.947 1203.07,324.368 1208.05,304.073 1213.03,284.143 1218,264.663 1222.98,245.723 1227.96,227.412 1232.94,209.825 1237.91,193.054 1242.89,177.195 \n  1247.87,162.341 1252.84,148.581 1257.82,136.003 1262.8,124.69 1267.77,114.717 1272.75,106.154 1277.73,99.0613 1282.71,93.4897 1287.68,89.4803 1292.66,87.0626 \n  1297.64,86.2547 1302.61,87.0626 1307.59,89.4803 1312.57,93.4897 1317.54,99.0613 1322.52,106.154 1327.5,114.717 1332.48,124.69 1337.45,136.003 1342.43,148.581 \n  1347.41,162.341 1352.38,177.195 1357.36,193.054 1362.34,209.825 1367.31,227.412 1372.29,245.723 1377.27,264.663 1382.24,284.143 1387.22,304.073 1392.2,324.368 \n  1397.18,344.947 1402.15,365.734 1407.13,386.656 1412.11,407.646 1417.08,428.642 1422.06,449.587 1427.04,470.429 1432.01,491.121 1436.99,511.622 1441.97,531.893 \n  1446.95,551.901 1451.92,571.619 1456.9,591.021 1461.88,610.086 1466.85,628.796 1471.83,647.137 1476.81,665.097 1481.78,682.668 1486.76,699.842 1491.74,716.616 \n  1496.72,732.986 1501.69,748.953 1506.67,764.515 1511.65,779.677 1516.62,794.44 1521.6,808.81 1526.58,822.791 1531.55,836.389 1536.53,849.61 1541.51,862.462 \n  1546.49,874.952 1551.46,887.087 1556.44,898.877 1561.42,910.328 1566.39,921.449 1571.37,932.25 1576.35,942.737 1581.32,952.92 1586.3,962.808 1591.28,972.408 \n  1596.25,981.729 1601.23,990.78 1606.21,999.567 1611.19,1008.1 1616.16,1016.39 1621.14,1024.43 1626.12,1032.25 1631.09,1039.84 1636.07,1047.21 1641.05,1054.37 \n  1646.02,1061.33 1651,1068.09 1655.98,1074.66 1660.96,1081.04 1665.93,1087.24 1670.91,1093.28 1675.89,1099.14 1680.86,1104.84 1685.84,1110.39 1690.82,1115.78 \n  1695.79,1121.03 1700.77,1126.13 1705.75,1131.09 1710.73,1135.93 1715.7,1140.63 1720.68,1145.21 1725.66,1149.67 1730.63,1154.01 1735.61,1158.23 1740.59,1162.35 \n  1745.56,1166.36 1750.54,1170.27 1755.52,1174.08 1760.5,1177.79 1765.47,1181.41 1770.45,1184.94 1775.43,1188.38 1780.4,1191.73 1785.38,1195 1790.36,1198.2 \n  1795.33,1201.31 1800.31,1204.35 1805.29,1207.31 1810.27,1210.21 1815.24,1213.03 1820.22,1215.79 1825.2,1218.49 1830.17,1221.12 1835.15,1223.69 1840.13,1226.2 \n  1845.1,1228.66 1850.08,1231.05 1855.06,1233.4 1860.03,1235.69 1865.01,1237.93 1869.99,1240.12 1874.97,1242.26 1879.94,1244.36 1884.92,1246.41 1889.9,1248.41 \n  1894.87,1250.37 1899.85,1252.29 1904.83,1254.17 1909.8,1256.01 1914.78,1257.81 1919.76,1259.57 1924.74,1261.3 1929.71,1262.99 1934.69,1264.64 1939.67,1266.26 \n  1944.64,1267.85 1949.62,1269.41 1954.6,1270.93 1959.57,1272.43 1964.55,1273.89 1969.53,1275.33 1974.51,1276.74 1979.48,1278.12 1984.46,1279.47 1989.44,1280.8 \n  1994.41,1282.1 1999.39,1283.38 2004.37,1284.63 2009.34,1285.86 2014.32,1287.06 2019.3,1288.25 2024.28,1289.41 2029.25,1290.55 2034.23,1291.67 2039.21,1292.77 \n  2044.18,1293.84 2049.16,1294.9 2054.14,1295.94 2059.11,1296.97 2064.09,1297.97 2069.07,1298.96 2074.05,1299.92 2079.02,1300.88 2084,1301.81 2088.98,1302.73 \n  2093.95,1303.63 2098.93,1304.52 2103.91,1305.39 2108.88,1306.25 2113.86,1307.09 2118.84,1307.92 2123.81,1308.74 2128.79,1309.54 2133.77,1310.33 2138.75,1311.1 \n  2143.72,1311.86 2148.7,1312.61 2153.68,1313.35 2158.65,1314.08 2163.63,1314.79 2168.61,1315.5 2173.58,1316.19 2178.56,1316.87 2183.54,1317.54 2188.52,1318.2 \n  2193.49,1318.85 2198.47,1319.49 2203.45,1320.12 2208.42,1320.74 2213.4,1321.35 2218.38,1321.95 2223.35,1322.54 2228.33,1323.13 2233.31,1323.7 2238.29,1324.27 \n  2243.26,1324.82 2248.24,1325.37 2253.22,1325.91 2258.19,1326.45 2263.17,1326.97 2268.15,1327.49 2273.12,1328 2278.1,1328.5 2283.08,1329 2288.06,1329.49 \n  2293.03,1329.97 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1386.61 307.217,1355.27 312.194,1329.79 317.171,1309.52 322.148,1293.87 327.125,1282.29 332.102,1274.28 337.079,1269.37 342.056,1267.12 347.033,1267.14 \n  352.01,1269.08 356.987,1272.6 361.964,1277.4 366.941,1283.2 371.918,1289.76 376.895,1296.86 381.872,1304.31 386.849,1311.91 391.826,1319.52 396.803,1326.99 \n  401.78,1334.21 406.757,1341.08 411.734,1347.5 416.711,1353.4 421.688,1358.72 426.665,1363.42 431.642,1367.44 436.619,1370.77 441.596,1373.39 446.573,1375.29 \n  451.55,1376.46 456.527,1376.92 461.504,1376.67 466.481,1375.72 471.458,1374.11 476.434,1371.86 481.411,1369 486.388,1365.56 491.365,1361.58 496.342,1357.09 \n  501.319,1352.14 506.296,1346.78 511.273,1341.03 516.25,1334.96 521.227,1328.59 526.204,1321.99 531.181,1315.18 536.158,1308.21 541.135,1301.13 546.112,1293.99 \n  551.089,1286.81 556.066,1279.64 561.043,1272.52 566.02,1265.49 570.997,1258.58 575.974,1251.82 580.951,1245.25 585.928,1238.9 590.905,1232.78 595.882,1226.94 \n  600.859,1221.38 605.836,1216.13 610.813,1211.22 615.79,1206.65 620.767,1202.44 625.744,1198.61 630.721,1195.15 635.698,1192.09 640.675,1189.42 645.652,1187.15 \n  650.629,1185.27 655.606,1183.8 660.583,1182.71 665.56,1182.02 670.537,1181.71 675.514,1181.77 680.491,1182.2 685.468,1182.98 690.445,1184.09 695.422,1185.53 \n  700.399,1187.28 705.376,1189.31 710.353,1191.61 715.33,1194.16 720.306,1196.94 725.283,1199.92 730.26,1203.09 735.237,1206.41 740.214,1209.86 745.191,1213.42 \n  750.168,1217.07 755.145,1220.77 760.122,1224.49 765.099,1228.22 770.076,1231.93 775.053,1235.58 780.03,1239.15 785.007,1242.61 789.984,1245.94 794.961,1249.11 \n  799.938,1252.09 804.915,1254.85 809.892,1257.38 814.869,1259.64 819.846,1261.62 824.823,1263.27 829.8,1264.6 834.777,1265.56 839.754,1266.14 844.731,1266.32 \n  849.708,1266.08 854.685,1265.4 859.662,1264.26 864.639,1262.64 869.616,1260.53 874.593,1257.91 879.57,1254.78 884.547,1251.11 889.524,1246.9 894.501,1242.14 \n  899.478,1236.81 904.455,1230.91 909.432,1224.44 914.409,1217.38 919.386,1209.75 924.363,1201.52 929.34,1192.71 934.317,1183.31 939.294,1173.32 944.271,1162.75 \n  949.248,1151.6 954.225,1139.88 959.202,1127.59 964.179,1114.74 969.155,1101.34 974.132,1087.4 979.109,1072.94 984.086,1057.96 989.063,1042.48 994.04,1026.51 \n  999.017,1010.07 1003.99,993.178 1008.97,975.852 1013.95,958.109 1018.93,939.971 1023.9,921.458 1028.88,902.592 1033.86,883.395 1038.83,863.89 1043.81,844.103 \n  1048.79,824.057 1053.76,803.779 1058.74,783.293 1063.72,762.627 1068.7,741.807 1073.67,720.862 1078.65,699.819 1083.63,678.706 1088.6,657.551 1093.58,636.385 \n  1098.56,615.234 1103.53,594.13 1108.51,573.1 1113.49,552.174 1118.46,531.381 1123.44,510.751 1128.42,490.313 1133.4,470.094 1138.37,450.125 1143.35,430.433 \n  1148.33,411.047 1153.3,391.994 1158.28,373.302 1163.26,354.997 1168.23,337.106 1173.21,319.655 1178.19,302.669 1183.17,286.173 1188.14,270.19 1193.12,254.744 \n  1198.1,239.857 1203.07,225.552 1208.05,211.848 1213.03,198.767 1218,186.327 1222.98,174.546 1227.96,163.442 1232.94,153.032 1237.91,143.329 1242.89,134.349 \n  1247.87,126.105 1252.84,118.609 1257.82,111.873 1262.8,105.905 1267.77,100.715 1272.75,96.3099 1277.73,92.6972 1282.71,89.8817 1287.68,87.8677 1292.66,86.6581 \n  1297.64,86.2547 1302.61,86.6581 1307.59,87.8677 1312.57,89.8817 1317.54,92.6972 1322.52,96.3099 1327.5,100.715 1332.48,105.905 1337.45,111.873 1342.43,118.609 \n  1347.41,126.105 1352.38,134.349 1357.36,143.329 1362.34,153.032 1367.31,163.442 1372.29,174.546 1377.27,186.327 1382.24,198.767 1387.22,211.848 1392.2,225.552 \n  1397.18,239.857 1402.15,254.744 1407.13,270.19 1412.11,286.173 1417.08,302.669 1422.06,319.655 1427.04,337.106 1432.01,354.997 1436.99,373.302 1441.97,391.994 \n  1446.95,411.047 1451.92,430.433 1456.9,450.125 1461.88,470.094 1466.85,490.313 1471.83,510.751 1476.81,531.381 1481.78,552.174 1486.76,573.1 1491.74,594.13 \n  1496.72,615.234 1501.69,636.385 1506.67,657.551 1511.65,678.706 1516.62,699.819 1521.6,720.862 1526.58,741.807 1531.55,762.627 1536.53,783.293 1541.51,803.779 \n  1546.49,824.057 1551.46,844.103 1556.44,863.89 1561.42,883.395 1566.39,902.592 1571.37,921.458 1576.35,939.971 1581.32,958.109 1586.3,975.852 1591.28,993.178 \n  1596.25,1010.07 1601.23,1026.51 1606.21,1042.48 1611.19,1057.96 1616.16,1072.94 1621.14,1087.4 1626.12,1101.34 1631.09,1114.74 1636.07,1127.59 1641.05,1139.88 \n  1646.02,1151.6 1651,1162.75 1655.98,1173.32 1660.96,1183.31 1665.93,1192.71 1670.91,1201.52 1675.89,1209.75 1680.86,1217.38 1685.84,1224.44 1690.82,1230.91 \n  1695.79,1236.81 1700.77,1242.14 1705.75,1246.9 1710.73,1251.11 1715.7,1254.78 1720.68,1257.91 1725.66,1260.53 1730.63,1262.64 1735.61,1264.26 1740.59,1265.4 \n  1745.56,1266.08 1750.54,1266.32 1755.52,1266.14 1760.5,1265.56 1765.47,1264.6 1770.45,1263.27 1775.43,1261.62 1780.4,1259.64 1785.38,1257.38 1790.36,1254.85 \n  1795.33,1252.09 1800.31,1249.11 1805.29,1245.94 1810.27,1242.61 1815.24,1239.15 1820.22,1235.58 1825.2,1231.93 1830.17,1228.22 1835.15,1224.49 1840.13,1220.77 \n  1845.1,1217.07 1850.08,1213.42 1855.06,1209.86 1860.03,1206.41 1865.01,1203.09 1869.99,1199.92 1874.97,1196.94 1879.94,1194.16 1884.92,1191.61 1889.9,1189.31 \n  1894.87,1187.28 1899.85,1185.53 1904.83,1184.09 1909.8,1182.98 1914.78,1182.2 1919.76,1181.77 1924.74,1181.71 1929.71,1182.02 1934.69,1182.71 1939.67,1183.8 \n  1944.64,1185.27 1949.62,1187.15 1954.6,1189.42 1959.57,1192.09 1964.55,1195.15 1969.53,1198.61 1974.51,1202.44 1979.48,1206.65 1984.46,1211.22 1989.44,1216.13 \n  1994.41,1221.38 1999.39,1226.94 2004.37,1232.78 2009.34,1238.9 2014.32,1245.25 2019.3,1251.82 2024.28,1258.58 2029.25,1265.49 2034.23,1272.52 2039.21,1279.64 \n  2044.18,1286.81 2049.16,1293.99 2054.14,1301.13 2059.11,1308.21 2064.09,1315.18 2069.07,1321.99 2074.05,1328.59 2079.02,1334.96 2084,1341.03 2088.98,1346.78 \n  2093.95,1352.14 2098.93,1357.09 2103.91,1361.58 2108.88,1365.56 2113.86,1369 2118.84,1371.86 2123.81,1374.11 2128.79,1375.72 2133.77,1376.67 2138.75,1376.92 \n  2143.72,1376.46 2148.7,1375.29 2153.68,1373.39 2158.65,1370.77 2163.63,1367.44 2168.61,1363.42 2173.58,1358.72 2178.56,1353.4 2183.54,1347.5 2188.52,1341.08 \n  2193.49,1334.21 2198.47,1326.99 2203.45,1319.52 2208.42,1311.91 2213.4,1304.31 2218.38,1296.86 2223.35,1289.76 2228.33,1283.2 2233.31,1277.4 2238.29,1272.6 \n  2243.26,1269.08 2248.24,1267.14 2253.22,1267.12 2258.19,1269.37 2263.17,1274.28 2268.15,1282.29 2273.12,1293.87 2278.1,1309.52 2283.08,1329.79 2288.06,1355.27 \n  2293.03,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip4802)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  2282.9,1328.98 2203.08,1320.07 2049.91,1295.06 1835.79,1224.02 1578.07,946.3 1297.64,86.2547 1017.2,946.3 759.484,1224.02 545.366,1295.06 392.192,1320.07 \n  312.372,1328.98 \n  \"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"2282.9\" cy=\"1328.98\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"2203.08\" cy=\"1320.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"2049.91\" cy=\"1295.06\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"1835.79\" cy=\"1224.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"1578.07\" cy=\"946.3\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"1017.2\" cy=\"946.3\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"759.484\" cy=\"1224.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"545.366\" cy=\"1295.06\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"392.192\" cy=\"1320.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip4802)\" cx=\"312.372\" cy=\"1328.98\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip4800)\" d=\"\nM1489.67 372.684 L2280.76 372.684 L2280.76 130.764 L1489.67 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1489.67,372.684 2280.76,372.684 2280.76,130.764 1489.67,130.764 1489.67,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,191.244 1657.67,191.244 \n  \"/>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,251.724 1657.67,251.724 \n  \"/>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 2</text>\n</g>\n<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1513.67,312.204 1657.67,312.204 \n  \"/>\n<circle clip-path=\"url(#clip4800)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip4800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip5100\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip5100)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip5101\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip5100)\" d=\"\n",
       "M242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip5102\">\n",
       "    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,1379.72 2352.76,1379.72 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,1056.35 2352.76,1056.35 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,732.986 2352.76,732.986 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,409.62 2352.76,409.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 242.516,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1379.72 267.839,1379.72 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1056.35 267.839,1056.35 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,732.986 267.839,732.986 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,409.62 267.839,409.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,86.2547 267.839,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1397.22)\" x=\"218.516\" y=\"1397.22\">0.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1073.85)\" x=\"218.516\" y=\"1073.85\">0.25</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 750.486)\" x=\"218.516\" y=\"750.486\">0.50</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 427.12)\" x=\"218.516\" y=\"427.12\">0.75</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1329.97 307.217,1329.49 312.194,1329 317.171,1328.5 322.148,1328 327.125,1327.49 332.102,1326.97 337.079,1326.45 342.056,1325.91 347.033,1325.37 \n",
       "  352.01,1324.82 356.987,1324.27 361.964,1323.7 366.941,1323.13 371.918,1322.54 376.895,1321.95 381.872,1321.35 386.849,1320.74 391.826,1320.12 396.803,1319.49 \n",
       "  401.78,1318.85 406.757,1318.2 411.734,1317.54 416.711,1316.87 421.688,1316.19 426.665,1315.5 431.642,1314.79 436.619,1314.08 441.596,1313.35 446.573,1312.61 \n",
       "  451.55,1311.86 456.527,1311.1 461.504,1310.33 466.481,1309.54 471.458,1308.74 476.434,1307.92 481.411,1307.09 486.388,1306.25 491.365,1305.39 496.342,1304.52 \n",
       "  501.319,1303.63 506.296,1302.73 511.273,1301.81 516.25,1300.88 521.227,1299.92 526.204,1298.96 531.181,1297.97 536.158,1296.97 541.135,1295.94 546.112,1294.9 \n",
       "  551.089,1293.84 556.066,1292.77 561.043,1291.67 566.02,1290.55 570.997,1289.41 575.974,1288.25 580.951,1287.06 585.928,1285.86 590.905,1284.63 595.882,1283.38 \n",
       "  600.859,1282.1 605.836,1280.8 610.813,1279.47 615.79,1278.12 620.767,1276.74 625.744,1275.33 630.721,1273.89 635.698,1272.43 640.675,1270.93 645.652,1269.41 \n",
       "  650.629,1267.85 655.606,1266.26 660.583,1264.64 665.56,1262.99 670.537,1261.3 675.514,1259.57 680.491,1257.81 685.468,1256.01 690.445,1254.17 695.422,1252.29 \n",
       "  700.399,1250.37 705.376,1248.41 710.353,1246.41 715.33,1244.36 720.306,1242.26 725.283,1240.12 730.26,1237.93 735.237,1235.69 740.214,1233.4 745.191,1231.05 \n",
       "  750.168,1228.66 755.145,1226.2 760.122,1223.69 765.099,1221.12 770.076,1218.49 775.053,1215.79 780.03,1213.03 785.007,1210.21 789.984,1207.31 794.961,1204.35 \n",
       "  799.938,1201.31 804.915,1198.2 809.892,1195 814.869,1191.73 819.846,1188.38 824.823,1184.94 829.8,1181.41 834.777,1177.79 839.754,1174.08 844.731,1170.27 \n",
       "  849.708,1166.36 854.685,1162.35 859.662,1158.23 864.639,1154.01 869.616,1149.67 874.593,1145.21 879.57,1140.63 884.547,1135.93 889.524,1131.09 894.501,1126.13 \n",
       "  899.478,1121.03 904.455,1115.78 909.432,1110.39 914.409,1104.84 919.386,1099.14 924.363,1093.28 929.34,1087.24 934.317,1081.04 939.294,1074.66 944.271,1068.09 \n",
       "  949.248,1061.33 954.225,1054.37 959.202,1047.21 964.179,1039.84 969.155,1032.25 974.132,1024.43 979.109,1016.39 984.086,1008.1 989.063,999.567 994.04,990.78 \n",
       "  999.017,981.729 1003.99,972.408 1008.97,962.808 1013.95,952.92 1018.93,942.737 1023.9,932.25 1028.88,921.449 1033.86,910.328 1038.83,898.877 1043.81,887.087 \n",
       "  1048.79,874.952 1053.76,862.462 1058.74,849.61 1063.72,836.389 1068.7,822.791 1073.67,808.81 1078.65,794.44 1083.63,779.677 1088.6,764.515 1093.58,748.953 \n",
       "  1098.56,732.986 1103.53,716.616 1108.51,699.842 1113.49,682.668 1118.46,665.097 1123.44,647.137 1128.42,628.796 1133.4,610.086 1138.37,591.021 1143.35,571.619 \n",
       "  1148.33,551.901 1153.3,531.893 1158.28,511.622 1163.26,491.121 1168.23,470.429 1173.21,449.587 1178.19,428.642 1183.17,407.646 1188.14,386.656 1193.12,365.734 \n",
       "  1198.1,344.947 1203.07,324.368 1208.05,304.073 1213.03,284.143 1218,264.663 1222.98,245.723 1227.96,227.412 1232.94,209.825 1237.91,193.054 1242.89,177.195 \n",
       "  1247.87,162.341 1252.84,148.581 1257.82,136.003 1262.8,124.69 1267.77,114.717 1272.75,106.154 1277.73,99.0613 1282.71,93.4897 1287.68,89.4803 1292.66,87.0626 \n",
       "  1297.64,86.2547 1302.61,87.0626 1307.59,89.4803 1312.57,93.4897 1317.54,99.0613 1322.52,106.154 1327.5,114.717 1332.48,124.69 1337.45,136.003 1342.43,148.581 \n",
       "  1347.41,162.341 1352.38,177.195 1357.36,193.054 1362.34,209.825 1367.31,227.412 1372.29,245.723 1377.27,264.663 1382.24,284.143 1387.22,304.073 1392.2,324.368 \n",
       "  1397.18,344.947 1402.15,365.734 1407.13,386.656 1412.11,407.646 1417.08,428.642 1422.06,449.587 1427.04,470.429 1432.01,491.121 1436.99,511.622 1441.97,531.893 \n",
       "  1446.95,551.901 1451.92,571.619 1456.9,591.021 1461.88,610.086 1466.85,628.796 1471.83,647.137 1476.81,665.097 1481.78,682.668 1486.76,699.842 1491.74,716.616 \n",
       "  1496.72,732.986 1501.69,748.953 1506.67,764.515 1511.65,779.677 1516.62,794.44 1521.6,808.81 1526.58,822.791 1531.55,836.389 1536.53,849.61 1541.51,862.462 \n",
       "  1546.49,874.952 1551.46,887.087 1556.44,898.877 1561.42,910.328 1566.39,921.449 1571.37,932.25 1576.35,942.737 1581.32,952.92 1586.3,962.808 1591.28,972.408 \n",
       "  1596.25,981.729 1601.23,990.78 1606.21,999.567 1611.19,1008.1 1616.16,1016.39 1621.14,1024.43 1626.12,1032.25 1631.09,1039.84 1636.07,1047.21 1641.05,1054.37 \n",
       "  1646.02,1061.33 1651,1068.09 1655.98,1074.66 1660.96,1081.04 1665.93,1087.24 1670.91,1093.28 1675.89,1099.14 1680.86,1104.84 1685.84,1110.39 1690.82,1115.78 \n",
       "  1695.79,1121.03 1700.77,1126.13 1705.75,1131.09 1710.73,1135.93 1715.7,1140.63 1720.68,1145.21 1725.66,1149.67 1730.63,1154.01 1735.61,1158.23 1740.59,1162.35 \n",
       "  1745.56,1166.36 1750.54,1170.27 1755.52,1174.08 1760.5,1177.79 1765.47,1181.41 1770.45,1184.94 1775.43,1188.38 1780.4,1191.73 1785.38,1195 1790.36,1198.2 \n",
       "  1795.33,1201.31 1800.31,1204.35 1805.29,1207.31 1810.27,1210.21 1815.24,1213.03 1820.22,1215.79 1825.2,1218.49 1830.17,1221.12 1835.15,1223.69 1840.13,1226.2 \n",
       "  1845.1,1228.66 1850.08,1231.05 1855.06,1233.4 1860.03,1235.69 1865.01,1237.93 1869.99,1240.12 1874.97,1242.26 1879.94,1244.36 1884.92,1246.41 1889.9,1248.41 \n",
       "  1894.87,1250.37 1899.85,1252.29 1904.83,1254.17 1909.8,1256.01 1914.78,1257.81 1919.76,1259.57 1924.74,1261.3 1929.71,1262.99 1934.69,1264.64 1939.67,1266.26 \n",
       "  1944.64,1267.85 1949.62,1269.41 1954.6,1270.93 1959.57,1272.43 1964.55,1273.89 1969.53,1275.33 1974.51,1276.74 1979.48,1278.12 1984.46,1279.47 1989.44,1280.8 \n",
       "  1994.41,1282.1 1999.39,1283.38 2004.37,1284.63 2009.34,1285.86 2014.32,1287.06 2019.3,1288.25 2024.28,1289.41 2029.25,1290.55 2034.23,1291.67 2039.21,1292.77 \n",
       "  2044.18,1293.84 2049.16,1294.9 2054.14,1295.94 2059.11,1296.97 2064.09,1297.97 2069.07,1298.96 2074.05,1299.92 2079.02,1300.88 2084,1301.81 2088.98,1302.73 \n",
       "  2093.95,1303.63 2098.93,1304.52 2103.91,1305.39 2108.88,1306.25 2113.86,1307.09 2118.84,1307.92 2123.81,1308.74 2128.79,1309.54 2133.77,1310.33 2138.75,1311.1 \n",
       "  2143.72,1311.86 2148.7,1312.61 2153.68,1313.35 2158.65,1314.08 2163.63,1314.79 2168.61,1315.5 2173.58,1316.19 2178.56,1316.87 2183.54,1317.54 2188.52,1318.2 \n",
       "  2193.49,1318.85 2198.47,1319.49 2203.45,1320.12 2208.42,1320.74 2213.4,1321.35 2218.38,1321.95 2223.35,1322.54 2228.33,1323.13 2233.31,1323.7 2238.29,1324.27 \n",
       "  2243.26,1324.82 2248.24,1325.37 2253.22,1325.91 2258.19,1326.45 2263.17,1326.97 2268.15,1327.49 2273.12,1328 2278.1,1328.5 2283.08,1329 2288.06,1329.49 \n",
       "  2293.03,1329.97 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1386.61 307.217,1355.27 312.194,1329.79 317.171,1309.52 322.148,1293.87 327.125,1282.29 332.102,1274.28 337.079,1269.37 342.056,1267.12 347.033,1267.14 \n",
       "  352.01,1269.08 356.987,1272.6 361.964,1277.4 366.941,1283.2 371.918,1289.76 376.895,1296.86 381.872,1304.31 386.849,1311.91 391.826,1319.52 396.803,1326.99 \n",
       "  401.78,1334.21 406.757,1341.08 411.734,1347.5 416.711,1353.4 421.688,1358.72 426.665,1363.42 431.642,1367.44 436.619,1370.77 441.596,1373.39 446.573,1375.29 \n",
       "  451.55,1376.46 456.527,1376.92 461.504,1376.67 466.481,1375.72 471.458,1374.11 476.434,1371.86 481.411,1369 486.388,1365.56 491.365,1361.58 496.342,1357.09 \n",
       "  501.319,1352.14 506.296,1346.78 511.273,1341.03 516.25,1334.96 521.227,1328.59 526.204,1321.99 531.181,1315.18 536.158,1308.21 541.135,1301.13 546.112,1293.99 \n",
       "  551.089,1286.81 556.066,1279.64 561.043,1272.52 566.02,1265.49 570.997,1258.58 575.974,1251.82 580.951,1245.25 585.928,1238.9 590.905,1232.78 595.882,1226.94 \n",
       "  600.859,1221.38 605.836,1216.13 610.813,1211.22 615.79,1206.65 620.767,1202.44 625.744,1198.61 630.721,1195.15 635.698,1192.09 640.675,1189.42 645.652,1187.15 \n",
       "  650.629,1185.27 655.606,1183.8 660.583,1182.71 665.56,1182.02 670.537,1181.71 675.514,1181.77 680.491,1182.2 685.468,1182.98 690.445,1184.09 695.422,1185.53 \n",
       "  700.399,1187.28 705.376,1189.31 710.353,1191.61 715.33,1194.16 720.306,1196.94 725.283,1199.92 730.26,1203.09 735.237,1206.41 740.214,1209.86 745.191,1213.42 \n",
       "  750.168,1217.07 755.145,1220.77 760.122,1224.49 765.099,1228.22 770.076,1231.93 775.053,1235.58 780.03,1239.15 785.007,1242.61 789.984,1245.94 794.961,1249.11 \n",
       "  799.938,1252.09 804.915,1254.85 809.892,1257.38 814.869,1259.64 819.846,1261.62 824.823,1263.27 829.8,1264.6 834.777,1265.56 839.754,1266.14 844.731,1266.32 \n",
       "  849.708,1266.08 854.685,1265.4 859.662,1264.26 864.639,1262.64 869.616,1260.53 874.593,1257.91 879.57,1254.78 884.547,1251.11 889.524,1246.9 894.501,1242.14 \n",
       "  899.478,1236.81 904.455,1230.91 909.432,1224.44 914.409,1217.38 919.386,1209.75 924.363,1201.52 929.34,1192.71 934.317,1183.31 939.294,1173.32 944.271,1162.75 \n",
       "  949.248,1151.6 954.225,1139.88 959.202,1127.59 964.179,1114.74 969.155,1101.34 974.132,1087.4 979.109,1072.94 984.086,1057.96 989.063,1042.48 994.04,1026.51 \n",
       "  999.017,1010.07 1003.99,993.178 1008.97,975.852 1013.95,958.109 1018.93,939.971 1023.9,921.458 1028.88,902.592 1033.86,883.395 1038.83,863.89 1043.81,844.103 \n",
       "  1048.79,824.057 1053.76,803.779 1058.74,783.293 1063.72,762.627 1068.7,741.807 1073.67,720.862 1078.65,699.819 1083.63,678.706 1088.6,657.551 1093.58,636.385 \n",
       "  1098.56,615.234 1103.53,594.13 1108.51,573.1 1113.49,552.174 1118.46,531.381 1123.44,510.751 1128.42,490.313 1133.4,470.094 1138.37,450.125 1143.35,430.433 \n",
       "  1148.33,411.047 1153.3,391.994 1158.28,373.302 1163.26,354.997 1168.23,337.106 1173.21,319.655 1178.19,302.669 1183.17,286.173 1188.14,270.19 1193.12,254.744 \n",
       "  1198.1,239.857 1203.07,225.552 1208.05,211.848 1213.03,198.767 1218,186.327 1222.98,174.546 1227.96,163.442 1232.94,153.032 1237.91,143.329 1242.89,134.349 \n",
       "  1247.87,126.105 1252.84,118.609 1257.82,111.873 1262.8,105.905 1267.77,100.715 1272.75,96.3099 1277.73,92.6972 1282.71,89.8817 1287.68,87.8677 1292.66,86.6581 \n",
       "  1297.64,86.2547 1302.61,86.6581 1307.59,87.8677 1312.57,89.8817 1317.54,92.6972 1322.52,96.3099 1327.5,100.715 1332.48,105.905 1337.45,111.873 1342.43,118.609 \n",
       "  1347.41,126.105 1352.38,134.349 1357.36,143.329 1362.34,153.032 1367.31,163.442 1372.29,174.546 1377.27,186.327 1382.24,198.767 1387.22,211.848 1392.2,225.552 \n",
       "  1397.18,239.857 1402.15,254.744 1407.13,270.19 1412.11,286.173 1417.08,302.669 1422.06,319.655 1427.04,337.106 1432.01,354.997 1436.99,373.302 1441.97,391.994 \n",
       "  1446.95,411.047 1451.92,430.433 1456.9,450.125 1461.88,470.094 1466.85,490.313 1471.83,510.751 1476.81,531.381 1481.78,552.174 1486.76,573.1 1491.74,594.13 \n",
       "  1496.72,615.234 1501.69,636.385 1506.67,657.551 1511.65,678.706 1516.62,699.819 1521.6,720.862 1526.58,741.807 1531.55,762.627 1536.53,783.293 1541.51,803.779 \n",
       "  1546.49,824.057 1551.46,844.103 1556.44,863.89 1561.42,883.395 1566.39,902.592 1571.37,921.458 1576.35,939.971 1581.32,958.109 1586.3,975.852 1591.28,993.178 \n",
       "  1596.25,1010.07 1601.23,1026.51 1606.21,1042.48 1611.19,1057.96 1616.16,1072.94 1621.14,1087.4 1626.12,1101.34 1631.09,1114.74 1636.07,1127.59 1641.05,1139.88 \n",
       "  1646.02,1151.6 1651,1162.75 1655.98,1173.32 1660.96,1183.31 1665.93,1192.71 1670.91,1201.52 1675.89,1209.75 1680.86,1217.38 1685.84,1224.44 1690.82,1230.91 \n",
       "  1695.79,1236.81 1700.77,1242.14 1705.75,1246.9 1710.73,1251.11 1715.7,1254.78 1720.68,1257.91 1725.66,1260.53 1730.63,1262.64 1735.61,1264.26 1740.59,1265.4 \n",
       "  1745.56,1266.08 1750.54,1266.32 1755.52,1266.14 1760.5,1265.56 1765.47,1264.6 1770.45,1263.27 1775.43,1261.62 1780.4,1259.64 1785.38,1257.38 1790.36,1254.85 \n",
       "  1795.33,1252.09 1800.31,1249.11 1805.29,1245.94 1810.27,1242.61 1815.24,1239.15 1820.22,1235.58 1825.2,1231.93 1830.17,1228.22 1835.15,1224.49 1840.13,1220.77 \n",
       "  1845.1,1217.07 1850.08,1213.42 1855.06,1209.86 1860.03,1206.41 1865.01,1203.09 1869.99,1199.92 1874.97,1196.94 1879.94,1194.16 1884.92,1191.61 1889.9,1189.31 \n",
       "  1894.87,1187.28 1899.85,1185.53 1904.83,1184.09 1909.8,1182.98 1914.78,1182.2 1919.76,1181.77 1924.74,1181.71 1929.71,1182.02 1934.69,1182.71 1939.67,1183.8 \n",
       "  1944.64,1185.27 1949.62,1187.15 1954.6,1189.42 1959.57,1192.09 1964.55,1195.15 1969.53,1198.61 1974.51,1202.44 1979.48,1206.65 1984.46,1211.22 1989.44,1216.13 \n",
       "  1994.41,1221.38 1999.39,1226.94 2004.37,1232.78 2009.34,1238.9 2014.32,1245.25 2019.3,1251.82 2024.28,1258.58 2029.25,1265.49 2034.23,1272.52 2039.21,1279.64 \n",
       "  2044.18,1286.81 2049.16,1293.99 2054.14,1301.13 2059.11,1308.21 2064.09,1315.18 2069.07,1321.99 2074.05,1328.59 2079.02,1334.96 2084,1341.03 2088.98,1346.78 \n",
       "  2093.95,1352.14 2098.93,1357.09 2103.91,1361.58 2108.88,1365.56 2113.86,1369 2118.84,1371.86 2123.81,1374.11 2128.79,1375.72 2133.77,1376.67 2138.75,1376.92 \n",
       "  2143.72,1376.46 2148.7,1375.29 2153.68,1373.39 2158.65,1370.77 2163.63,1367.44 2168.61,1363.42 2173.58,1358.72 2178.56,1353.4 2183.54,1347.5 2188.52,1341.08 \n",
       "  2193.49,1334.21 2198.47,1326.99 2203.45,1319.52 2208.42,1311.91 2213.4,1304.31 2218.38,1296.86 2223.35,1289.76 2228.33,1283.2 2233.31,1277.4 2238.29,1272.6 \n",
       "  2243.26,1269.08 2248.24,1267.14 2253.22,1267.12 2258.19,1269.37 2263.17,1274.28 2268.15,1282.29 2273.12,1293.87 2278.1,1309.52 2283.08,1329.79 2288.06,1355.27 \n",
       "  2293.03,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5102)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  2282.9,1328.98 2203.08,1320.07 2049.91,1295.06 1835.79,1224.02 1578.07,946.3 1297.64,86.2547 1017.2,946.3 759.484,1224.02 545.366,1295.06 392.192,1320.07 \n",
       "  312.372,1328.98 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"2282.9\" cy=\"1328.98\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"2203.08\" cy=\"1320.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"2049.91\" cy=\"1295.06\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"1835.79\" cy=\"1224.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"1578.07\" cy=\"946.3\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"1017.2\" cy=\"946.3\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"759.484\" cy=\"1224.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"545.366\" cy=\"1295.06\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"392.192\" cy=\"1320.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5102)\" cx=\"312.372\" cy=\"1328.98\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip5100)\" d=\"\n",
       "M1489.67 372.684 L2280.76 372.684 L2280.76 130.764 L1489.67 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1489.67,372.684 2280.76,372.684 2280.76,130.764 1489.67,130.764 1489.67,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,191.244 1657.67,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,251.724 1657.67,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 2</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5100)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,312.204 1657.67,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip5100)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip5100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xo, yo, xx, yy_ori, yy_int, A = polyint_2(10)\n",
    "# pyplot()\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 2\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")\n",
    "#Plots.savefig(\"2.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 误差估计\n",
    "\n",
    "误差估计中，给出$f(x)$与插值多项式$L_{10}(x)$的误差随$x$的变化曲线，如下图所示。其中误差的最大值为\n",
    "$$\\max|\\left(f(x)-L_{10}(x)\\right)|=0.10915326641230993$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10915326641231016\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip5400\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip5400)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip5401\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip5400)\" d=\"\nM242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip5402\">\n    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  302.24,1425.62 302.24,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  799.938,1425.62 799.938,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,1258.64 2352.76,1258.64 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,965.543 2352.76,965.543 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,672.447 2352.76,672.447 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,379.351 2352.76,379.351 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 242.516,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  302.24,1425.62 302.24,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  799.938,1425.62 799.938,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1258.64 267.839,1258.64 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,965.543 267.839,965.543 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,672.447 267.839,672.447 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,379.351 267.839,379.351 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,86.2547 267.839,86.2547 \n  \"/>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1276.14)\" x=\"218.516\" y=\"1276.14\">0.00</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 983.043)\" x=\"218.516\" y=\"983.043\">0.25</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 689.947)\" x=\"218.516\" y=\"689.947\">0.50</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 396.851)\" x=\"218.516\" y=\"396.851\">0.75</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1213.55 307.217,1213.11 312.194,1212.67 317.171,1212.22 322.148,1211.76 327.125,1211.3 332.102,1210.83 337.079,1210.35 342.056,1209.87 347.033,1209.38 \n  352.01,1208.88 356.987,1208.38 361.964,1207.86 366.941,1207.34 371.918,1206.81 376.895,1206.28 381.872,1205.73 386.849,1205.18 391.826,1204.62 396.803,1204.05 \n  401.78,1203.47 406.757,1202.88 411.734,1202.28 416.711,1201.67 421.688,1201.06 426.665,1200.43 431.642,1199.79 436.619,1199.14 441.596,1198.49 446.573,1197.82 \n  451.55,1197.14 456.527,1196.45 461.504,1195.74 466.481,1195.03 471.458,1194.3 476.434,1193.56 481.411,1192.81 486.388,1192.05 491.365,1191.27 496.342,1190.48 \n  501.319,1189.67 506.296,1188.86 511.273,1188.02 516.25,1187.18 521.227,1186.31 526.204,1185.44 531.181,1184.54 536.158,1183.63 541.135,1182.71 546.112,1181.76 \n  551.089,1180.8 556.066,1179.83 561.043,1178.83 566.02,1177.82 570.997,1176.78 575.974,1175.73 580.951,1174.66 585.928,1173.56 590.905,1172.45 595.882,1171.31 \n  600.859,1170.16 605.836,1168.98 610.813,1167.77 615.79,1166.55 620.767,1165.3 625.744,1164.02 630.721,1162.72 635.698,1161.39 640.675,1160.04 645.652,1158.65 \n  650.629,1157.24 655.606,1155.8 660.583,1154.33 665.56,1152.83 670.537,1151.3 675.514,1149.74 680.491,1148.14 685.468,1146.51 690.445,1144.84 695.422,1143.14 \n  700.399,1141.4 705.376,1139.62 710.353,1137.81 715.33,1135.95 720.306,1134.05 725.283,1132.11 730.26,1130.12 735.237,1128.09 740.214,1126.02 745.191,1123.89 \n  750.168,1121.72 755.145,1119.49 760.122,1117.22 765.099,1114.89 770.076,1112.5 775.053,1110.06 780.03,1107.56 785.007,1105 789.984,1102.37 794.961,1099.68 \n  799.938,1096.93 804.915,1094.11 809.892,1091.21 814.869,1088.25 819.846,1085.21 824.823,1082.09 829.8,1078.89 834.777,1075.61 839.754,1072.25 844.731,1068.8 \n  849.708,1065.26 854.685,1061.62 859.662,1057.89 864.639,1054.06 869.616,1050.12 874.593,1046.08 879.57,1041.93 884.547,1037.67 889.524,1033.29 894.501,1028.79 \n  899.478,1024.16 904.455,1019.41 909.432,1014.52 914.409,1009.49 919.386,1004.33 924.363,999.01 929.34,993.543 934.317,987.919 939.294,982.133 944.271,976.179 \n  949.248,970.052 954.225,963.746 959.202,957.254 964.179,950.572 969.155,943.693 974.132,936.61 979.109,929.317 984.086,921.807 989.063,914.073 994.04,906.108 \n  999.017,897.905 1003.99,889.456 1008.97,880.755 1013.95,871.793 1018.93,862.563 1023.9,853.057 1028.88,843.268 1033.86,833.187 1038.83,822.808 1043.81,812.122 \n  1048.79,801.123 1053.76,789.802 1058.74,778.153 1063.72,766.17 1068.7,753.845 1073.67,741.173 1078.65,728.148 1083.63,714.767 1088.6,701.024 1093.58,686.918 \n  1098.56,672.447 1103.53,657.609 1108.51,642.405 1113.49,626.839 1118.46,610.913 1123.44,594.634 1128.42,578.009 1133.4,561.051 1138.37,543.77 1143.35,526.185 \n  1148.33,508.313 1153.3,490.177 1158.28,471.804 1163.26,453.222 1168.23,434.467 1173.21,415.576 1178.19,396.592 1183.17,377.561 1188.14,358.536 1193.12,339.572 \n  1198.1,320.731 1203.07,302.079 1208.05,283.683 1213.03,265.619 1218,247.963 1222.98,230.795 1227.96,214.199 1232.94,198.257 1237.91,183.057 1242.89,168.683 \n  1247.87,155.218 1252.84,142.747 1257.82,131.346 1262.8,121.092 1267.77,112.053 1272.75,104.291 1277.73,97.8625 1282.71,92.8125 1287.68,89.1783 1292.66,86.987 \n  1297.64,86.2547 1302.61,86.987 1307.59,89.1783 1312.57,92.8125 1317.54,97.8625 1322.52,104.291 1327.5,112.053 1332.48,121.092 1337.45,131.346 1342.43,142.747 \n  1347.41,155.218 1352.38,168.683 1357.36,183.057 1362.34,198.257 1367.31,214.199 1372.29,230.795 1377.27,247.963 1382.24,265.619 1387.22,283.683 1392.2,302.079 \n  1397.18,320.731 1402.15,339.572 1407.13,358.536 1412.11,377.561 1417.08,396.592 1422.06,415.576 1427.04,434.467 1432.01,453.222 1436.99,471.804 1441.97,490.177 \n  1446.95,508.313 1451.92,526.185 1456.9,543.77 1461.88,561.051 1466.85,578.009 1471.83,594.634 1476.81,610.913 1481.78,626.839 1486.76,642.405 1491.74,657.609 \n  1496.72,672.447 1501.69,686.918 1506.67,701.024 1511.65,714.767 1516.62,728.148 1521.6,741.173 1526.58,753.845 1531.55,766.17 1536.53,778.153 1541.51,789.802 \n  1546.49,801.123 1551.46,812.122 1556.44,822.808 1561.42,833.187 1566.39,843.268 1571.37,853.057 1576.35,862.563 1581.32,871.793 1586.3,880.755 1591.28,889.456 \n  1596.25,897.905 1601.23,906.108 1606.21,914.073 1611.19,921.807 1616.16,929.317 1621.14,936.61 1626.12,943.693 1631.09,950.572 1636.07,957.254 1641.05,963.746 \n  1646.02,970.052 1651,976.179 1655.98,982.133 1660.96,987.919 1665.93,993.543 1670.91,999.01 1675.89,1004.33 1680.86,1009.49 1685.84,1014.52 1690.82,1019.41 \n  1695.79,1024.16 1700.77,1028.79 1705.75,1033.29 1710.73,1037.67 1715.7,1041.93 1720.68,1046.08 1725.66,1050.12 1730.63,1054.06 1735.61,1057.89 1740.59,1061.62 \n  1745.56,1065.26 1750.54,1068.8 1755.52,1072.25 1760.5,1075.61 1765.47,1078.89 1770.45,1082.09 1775.43,1085.21 1780.4,1088.25 1785.38,1091.21 1790.36,1094.11 \n  1795.33,1096.93 1800.31,1099.68 1805.29,1102.37 1810.27,1105 1815.24,1107.56 1820.22,1110.06 1825.2,1112.5 1830.17,1114.89 1835.15,1117.22 1840.13,1119.49 \n  1845.1,1121.72 1850.08,1123.89 1855.06,1126.02 1860.03,1128.09 1865.01,1130.12 1869.99,1132.11 1874.97,1134.05 1879.94,1135.95 1884.92,1137.81 1889.9,1139.62 \n  1894.87,1141.4 1899.85,1143.14 1904.83,1144.84 1909.8,1146.51 1914.78,1148.14 1919.76,1149.74 1924.74,1151.3 1929.71,1152.83 1934.69,1154.33 1939.67,1155.8 \n  1944.64,1157.24 1949.62,1158.65 1954.6,1160.04 1959.57,1161.39 1964.55,1162.72 1969.53,1164.02 1974.51,1165.3 1979.48,1166.55 1984.46,1167.77 1989.44,1168.98 \n  1994.41,1170.16 1999.39,1171.31 2004.37,1172.45 2009.34,1173.56 2014.32,1174.66 2019.3,1175.73 2024.28,1176.78 2029.25,1177.82 2034.23,1178.83 2039.21,1179.83 \n  2044.18,1180.8 2049.16,1181.76 2054.14,1182.71 2059.11,1183.63 2064.09,1184.54 2069.07,1185.44 2074.05,1186.31 2079.02,1187.18 2084,1188.02 2088.98,1188.86 \n  2093.95,1189.67 2098.93,1190.48 2103.91,1191.27 2108.88,1192.05 2113.86,1192.81 2118.84,1193.56 2123.81,1194.3 2128.79,1195.03 2133.77,1195.74 2138.75,1196.45 \n  2143.72,1197.14 2148.7,1197.82 2153.68,1198.49 2158.65,1199.14 2163.63,1199.79 2168.61,1200.43 2173.58,1201.06 2178.56,1201.67 2183.54,1202.28 2188.52,1202.88 \n  2193.49,1203.47 2198.47,1204.05 2203.45,1204.62 2208.42,1205.18 2213.4,1205.73 2218.38,1206.28 2223.35,1206.81 2228.33,1207.34 2233.31,1207.86 2238.29,1208.38 \n  2243.26,1208.88 2248.24,1209.38 2253.22,1209.87 2258.19,1210.35 2263.17,1210.83 2268.15,1211.3 2273.12,1211.76 2278.1,1212.22 2283.08,1212.67 2288.06,1213.11 \n  2293.03,1213.55 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1264.88 307.217,1236.48 312.194,1213.39 317.171,1195.01 322.148,1180.83 327.125,1170.33 332.102,1163.07 337.079,1158.62 342.056,1156.58 347.033,1156.6 \n  352.01,1158.36 356.987,1161.55 361.964,1165.89 366.941,1171.16 371.918,1177.1 376.895,1183.54 381.872,1190.29 386.849,1197.18 391.826,1204.07 396.803,1210.85 \n  401.78,1217.39 406.757,1223.62 411.734,1229.44 416.711,1234.79 421.688,1239.61 426.665,1243.86 431.642,1247.51 436.619,1250.53 441.596,1252.91 446.573,1254.63 \n  451.55,1255.69 456.527,1256.1 461.504,1255.87 466.481,1255.02 471.458,1253.56 476.434,1251.52 481.411,1248.92 486.388,1245.8 491.365,1242.2 496.342,1238.13 \n  501.319,1233.65 506.296,1228.78 511.273,1223.58 516.25,1218.07 521.227,1212.3 526.204,1206.31 531.181,1200.14 536.158,1193.83 541.135,1187.41 546.112,1180.93 \n  551.089,1174.43 556.066,1167.93 561.043,1161.48 566.02,1155.11 570.997,1148.84 575.974,1142.72 580.951,1136.76 585.928,1131 590.905,1125.46 595.882,1120.16 \n  600.859,1115.12 605.836,1110.37 610.813,1105.91 615.79,1101.77 620.767,1097.96 625.744,1094.48 630.721,1091.35 635.698,1088.57 640.675,1086.15 645.652,1084.09 \n  650.629,1082.39 655.606,1081.06 660.583,1080.08 665.56,1079.45 670.537,1079.17 675.514,1079.22 680.491,1079.61 685.468,1080.32 690.445,1081.33 695.422,1082.63 \n  700.399,1084.21 705.376,1086.05 710.353,1088.14 715.33,1090.45 720.306,1092.97 725.283,1095.67 730.26,1098.54 735.237,1101.55 740.214,1104.68 745.191,1107.91 \n  750.168,1111.21 755.145,1114.57 760.122,1117.95 765.099,1121.33 770.076,1124.68 775.053,1127.99 780.03,1131.23 785.007,1134.37 789.984,1137.38 794.961,1140.26 \n  799.938,1142.96 804.915,1145.46 809.892,1147.75 814.869,1149.8 819.846,1151.59 824.823,1153.1 829.8,1154.29 834.777,1155.17 839.754,1155.69 844.731,1155.86 \n  849.708,1155.64 854.685,1155.02 859.662,1153.98 864.639,1152.52 869.616,1150.61 874.593,1148.24 879.57,1145.39 884.547,1142.07 889.524,1138.25 894.501,1133.93 \n  899.478,1129.11 904.455,1123.76 909.432,1117.89 914.409,1111.5 919.386,1104.58 924.363,1097.12 929.34,1089.13 934.317,1080.61 939.294,1071.56 944.271,1061.98 \n  949.248,1051.88 954.225,1041.25 959.202,1030.11 964.179,1018.46 969.155,1006.32 974.132,993.687 979.109,980.576 984.086,966.998 989.063,952.965 994.04,938.492 \n  999.017,923.592 1003.99,908.282 1008.97,892.578 1013.95,876.496 1018.93,860.056 1023.9,843.276 1028.88,826.175 1033.86,808.775 1038.83,791.097 1043.81,773.162 \n  1048.79,754.993 1053.76,736.612 1058.74,718.044 1063.72,699.313 1068.7,680.442 1073.67,661.457 1078.65,642.384 1083.63,623.247 1088.6,604.073 1093.58,584.888 \n  1098.56,565.717 1103.53,546.588 1108.51,527.527 1113.49,508.56 1118.46,489.714 1123.44,471.015 1128.42,452.489 1133.4,434.164 1138.37,416.064 1143.35,398.215 \n  1148.33,380.644 1153.3,363.374 1158.28,346.432 1163.26,329.84 1168.23,313.624 1173.21,297.807 1178.19,282.411 1183.17,267.459 1188.14,252.972 1193.12,238.972 \n  1198.1,225.479 1203.07,212.512 1208.05,200.092 1213.03,188.235 1218,176.959 1222.98,166.281 1227.96,156.217 1232.94,146.781 1237.91,137.987 1242.89,129.847 \n  1247.87,122.375 1252.84,115.581 1257.82,109.475 1262.8,104.065 1267.77,99.361 1272.75,95.3686 1277.73,92.0941 1282.71,89.5422 1287.68,87.7167 1292.66,86.6203 \n  1297.64,86.2547 1302.61,86.6203 1307.59,87.7167 1312.57,89.5422 1317.54,92.0941 1322.52,95.3686 1327.5,99.361 1332.48,104.065 1337.45,109.475 1342.43,115.581 \n  1347.41,122.375 1352.38,129.847 1357.36,137.987 1362.34,146.781 1367.31,156.217 1372.29,166.281 1377.27,176.959 1382.24,188.235 1387.22,200.092 1392.2,212.512 \n  1397.18,225.479 1402.15,238.972 1407.13,252.972 1412.11,267.459 1417.08,282.411 1422.06,297.807 1427.04,313.624 1432.01,329.84 1436.99,346.432 1441.97,363.374 \n  1446.95,380.644 1451.92,398.215 1456.9,416.064 1461.88,434.164 1466.85,452.489 1471.83,471.015 1476.81,489.714 1481.78,508.56 1486.76,527.527 1491.74,546.588 \n  1496.72,565.717 1501.69,584.888 1506.67,604.073 1511.65,623.247 1516.62,642.384 1521.6,661.457 1526.58,680.442 1531.55,699.313 1536.53,718.044 1541.51,736.612 \n  1546.49,754.993 1551.46,773.162 1556.44,791.097 1561.42,808.775 1566.39,826.175 1571.37,843.276 1576.35,860.056 1581.32,876.496 1586.3,892.578 1591.28,908.282 \n  1596.25,923.592 1601.23,938.492 1606.21,952.965 1611.19,966.998 1616.16,980.576 1621.14,993.687 1626.12,1006.32 1631.09,1018.46 1636.07,1030.11 1641.05,1041.25 \n  1646.02,1051.88 1651,1061.98 1655.98,1071.56 1660.96,1080.61 1665.93,1089.13 1670.91,1097.12 1675.89,1104.58 1680.86,1111.5 1685.84,1117.89 1690.82,1123.76 \n  1695.79,1129.11 1700.77,1133.93 1705.75,1138.25 1710.73,1142.07 1715.7,1145.39 1720.68,1148.24 1725.66,1150.61 1730.63,1152.52 1735.61,1153.98 1740.59,1155.02 \n  1745.56,1155.64 1750.54,1155.86 1755.52,1155.69 1760.5,1155.17 1765.47,1154.29 1770.45,1153.1 1775.43,1151.59 1780.4,1149.8 1785.38,1147.75 1790.36,1145.46 \n  1795.33,1142.96 1800.31,1140.26 1805.29,1137.38 1810.27,1134.37 1815.24,1131.23 1820.22,1127.99 1825.2,1124.68 1830.17,1121.33 1835.15,1117.95 1840.13,1114.57 \n  1845.1,1111.21 1850.08,1107.91 1855.06,1104.68 1860.03,1101.55 1865.01,1098.54 1869.99,1095.67 1874.97,1092.97 1879.94,1090.45 1884.92,1088.14 1889.9,1086.05 \n  1894.87,1084.21 1899.85,1082.63 1904.83,1081.33 1909.8,1080.32 1914.78,1079.61 1919.76,1079.22 1924.74,1079.17 1929.71,1079.45 1934.69,1080.08 1939.67,1081.06 \n  1944.64,1082.39 1949.62,1084.09 1954.6,1086.15 1959.57,1088.57 1964.55,1091.35 1969.53,1094.48 1974.51,1097.96 1979.48,1101.77 1984.46,1105.91 1989.44,1110.37 \n  1994.41,1115.12 1999.39,1120.16 2004.37,1125.46 2009.34,1131 2014.32,1136.76 2019.3,1142.72 2024.28,1148.84 2029.25,1155.11 2034.23,1161.48 2039.21,1167.93 \n  2044.18,1174.43 2049.16,1180.93 2054.14,1187.41 2059.11,1193.83 2064.09,1200.14 2069.07,1206.31 2074.05,1212.3 2079.02,1218.07 2084,1223.58 2088.98,1228.78 \n  2093.95,1233.65 2098.93,1238.13 2103.91,1242.2 2108.88,1245.8 2113.86,1248.92 2118.84,1251.52 2123.81,1253.56 2128.79,1255.02 2133.77,1255.87 2138.75,1256.1 \n  2143.72,1255.69 2148.7,1254.63 2153.68,1252.91 2158.65,1250.53 2163.63,1247.51 2168.61,1243.86 2173.58,1239.61 2178.56,1234.79 2183.54,1229.44 2188.52,1223.62 \n  2193.49,1217.39 2198.47,1210.85 2203.45,1204.07 2208.42,1197.18 2213.4,1190.29 2218.38,1183.54 2223.35,1177.1 2228.33,1171.16 2233.31,1165.89 2238.29,1161.55 \n  2243.26,1158.36 2248.24,1156.6 2253.22,1156.58 2258.19,1158.62 2263.17,1163.07 2268.15,1170.33 2273.12,1180.83 2278.1,1195.01 2283.08,1213.39 2288.06,1236.48 \n  2293.03,1264.88 \n  \"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  2282.9,1212.65 2203.08,1204.58 2049.91,1181.91 1835.79,1117.51 1578.07,865.792 1297.64,86.2547 1017.2,865.792 759.484,1117.51 545.366,1181.91 392.192,1204.58 \n  312.372,1212.65 \n  \"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"2282.9\" cy=\"1212.65\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"2203.08\" cy=\"1204.58\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"2049.91\" cy=\"1181.91\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"1835.79\" cy=\"1117.51\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"1578.07\" cy=\"865.792\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"1017.2\" cy=\"865.792\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"759.484\" cy=\"1117.51\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"545.366\" cy=\"1181.91\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"392.192\" cy=\"1204.58\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip5402)\" cx=\"312.372\" cy=\"1212.65\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<polyline clip-path=\"url(#clip5402)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1207.3 307.217,1235.27 312.194,1257.92 317.171,1275.84 322.148,1289.57 327.125,1299.61 332.102,1306.4 337.079,1310.38 342.056,1311.93 347.033,1311.42 \n  352.01,1309.16 356.987,1305.47 361.964,1300.61 366.941,1294.83 371.918,1288.35 376.895,1281.38 381.872,1274.09 386.849,1266.64 391.826,1259.18 396.803,1251.84 \n  401.78,1244.71 406.757,1237.9 411.734,1231.48 416.711,1225.53 421.688,1220.09 426.665,1215.2 431.642,1210.92 436.619,1207.25 441.596,1204.22 446.573,1201.83 \n  451.55,1200.09 456.527,1198.98 461.504,1198.51 466.481,1198.65 471.458,1199.38 476.434,1200.68 481.411,1202.53 486.388,1204.88 491.365,1207.71 496.342,1210.99 \n  501.319,1214.67 506.296,1218.71 511.273,1223.09 516.25,1227.75 521.227,1232.65 526.204,1237.76 531.181,1243.04 536.158,1248.45 541.135,1253.93 546.112,1259.47 \n  551.089,1265.02 556.066,1270.53 561.043,1275.99 566.02,1281.35 570.997,1286.58 575.974,1291.65 580.951,1296.54 585.928,1301.2 590.905,1305.63 595.882,1309.79 \n  600.859,1313.67 605.836,1317.25 610.813,1320.5 615.79,1323.41 620.767,1325.98 625.744,1328.18 630.721,1330.01 635.698,1331.46 640.675,1332.52 645.652,1333.2 \n  650.629,1333.49 655.606,1333.39 660.583,1332.9 665.56,1332.03 670.537,1330.77 675.514,1329.15 680.491,1327.17 685.468,1324.83 690.445,1322.15 695.422,1319.15 \n  700.399,1315.83 705.376,1312.21 710.353,1308.3 715.33,1304.13 720.306,1299.72 725.283,1295.07 730.26,1290.22 735.237,1285.18 740.214,1279.97 745.191,1274.62 \n  750.168,1269.14 755.145,1263.57 760.122,1257.91 765.099,1252.2 770.076,1246.46 775.053,1240.71 780.03,1234.97 785.007,1229.27 789.984,1223.63 794.961,1218.07 \n  799.938,1212.61 804.915,1207.28 809.892,1202.1 814.869,1197.08 819.846,1192.26 824.823,1187.63 829.8,1183.24 834.777,1179.09 839.754,1175.19 844.731,1171.58 \n  849.708,1168.26 854.685,1165.24 859.662,1162.54 864.639,1160.18 869.616,1158.15 874.593,1156.48 879.57,1155.18 884.547,1154.24 889.524,1153.67 894.501,1153.49 \n  899.478,1153.69 904.455,1154.28 909.432,1155.26 914.409,1156.63 919.386,1158.39 924.363,1160.53 929.34,1163.05 934.317,1165.94 939.294,1169.21 944.271,1172.84 \n  949.248,1176.82 954.225,1181.13 959.202,1185.78 964.179,1190.75 969.155,1196.01 974.132,1201.56 979.109,1207.38 984.086,1213.45 989.063,1219.75 994.04,1226.25 \n  999.017,1232.95 1003.99,1239.81 1008.97,1246.82 1013.95,1253.94 1018.93,1261.15 1023.9,1268.42 1028.88,1275.73 1033.86,1283.05 1038.83,1290.35 1043.81,1297.6 \n  1048.79,1304.77 1053.76,1311.83 1058.74,1318.75 1063.72,1325.5 1068.7,1332.04 1073.67,1338.35 1078.65,1344.4 1083.63,1350.16 1088.6,1355.59 1093.58,1360.67 \n  1098.56,1365.37 1103.53,1369.66 1108.51,1373.52 1113.49,1376.92 1118.46,1379.84 1123.44,1382.26 1128.42,1384.16 1133.4,1385.53 1138.37,1386.35 1143.35,1386.61 \n  1148.33,1386.31 1153.3,1385.44 1158.28,1384.01 1163.26,1382.02 1168.23,1379.48 1173.21,1376.41 1178.19,1372.82 1183.17,1368.74 1188.14,1364.2 1193.12,1359.24 \n  1198.1,1353.89 1203.07,1348.2 1208.05,1342.23 1213.03,1336.02 1218,1329.64 1222.98,1323.15 1227.96,1316.62 1232.94,1310.12 1237.91,1303.71 1242.89,1297.47 \n  1247.87,1291.48 1252.84,1285.8 1257.82,1280.51 1262.8,1275.67 1267.77,1271.33 1272.75,1267.56 1277.73,1264.41 1282.71,1261.91 1287.68,1260.1 1292.66,1259.01 \n  1297.64,1258.64 1302.61,1259.01 1307.59,1260.1 1312.57,1261.91 1317.54,1264.41 1322.52,1267.56 1327.5,1271.33 1332.48,1275.67 1337.45,1280.51 1342.43,1285.8 \n  1347.41,1291.48 1352.38,1297.47 1357.36,1303.71 1362.34,1310.12 1367.31,1316.62 1372.29,1323.15 1377.27,1329.64 1382.24,1336.02 1387.22,1342.23 1392.2,1348.2 \n  1397.18,1353.89 1402.15,1359.24 1407.13,1364.2 1412.11,1368.74 1417.08,1372.82 1422.06,1376.41 1427.04,1379.48 1432.01,1382.02 1436.99,1384.01 1441.97,1385.44 \n  1446.95,1386.31 1451.92,1386.61 1456.9,1386.35 1461.88,1385.53 1466.85,1384.16 1471.83,1382.26 1476.81,1379.84 1481.78,1376.92 1486.76,1373.52 1491.74,1369.66 \n  1496.72,1365.37 1501.69,1360.67 1506.67,1355.59 1511.65,1350.16 1516.62,1344.4 1521.6,1338.35 1526.58,1332.04 1531.55,1325.5 1536.53,1318.75 1541.51,1311.83 \n  1546.49,1304.77 1551.46,1297.6 1556.44,1290.35 1561.42,1283.05 1566.39,1275.73 1571.37,1268.42 1576.35,1261.15 1581.32,1253.94 1586.3,1246.82 1591.28,1239.81 \n  1596.25,1232.95 1601.23,1226.25 1606.21,1219.75 1611.19,1213.45 1616.16,1207.38 1621.14,1201.56 1626.12,1196.01 1631.09,1190.75 1636.07,1185.78 1641.05,1181.13 \n  1646.02,1176.82 1651,1172.84 1655.98,1169.21 1660.96,1165.94 1665.93,1163.05 1670.91,1160.53 1675.89,1158.39 1680.86,1156.63 1685.84,1155.26 1690.82,1154.28 \n  1695.79,1153.69 1700.77,1153.49 1705.75,1153.67 1710.73,1154.24 1715.7,1155.18 1720.68,1156.48 1725.66,1158.15 1730.63,1160.18 1735.61,1162.54 1740.59,1165.24 \n  1745.56,1168.26 1750.54,1171.58 1755.52,1175.19 1760.5,1179.09 1765.47,1183.24 1770.45,1187.63 1775.43,1192.26 1780.4,1197.08 1785.38,1202.1 1790.36,1207.28 \n  1795.33,1212.61 1800.31,1218.07 1805.29,1223.63 1810.27,1229.27 1815.24,1234.97 1820.22,1240.71 1825.2,1246.46 1830.17,1252.2 1835.15,1257.91 1840.13,1263.57 \n  1845.1,1269.14 1850.08,1274.62 1855.06,1279.97 1860.03,1285.18 1865.01,1290.22 1869.99,1295.07 1874.97,1299.72 1879.94,1304.13 1884.92,1308.3 1889.9,1312.21 \n  1894.87,1315.83 1899.85,1319.15 1904.83,1322.15 1909.8,1324.83 1914.78,1327.17 1919.76,1329.15 1924.74,1330.77 1929.71,1332.03 1934.69,1332.9 1939.67,1333.39 \n  1944.64,1333.49 1949.62,1333.2 1954.6,1332.52 1959.57,1331.46 1964.55,1330.01 1969.53,1328.18 1974.51,1325.98 1979.48,1323.41 1984.46,1320.5 1989.44,1317.25 \n  1994.41,1313.67 1999.39,1309.79 2004.37,1305.63 2009.34,1301.2 2014.32,1296.54 2019.3,1291.65 2024.28,1286.58 2029.25,1281.35 2034.23,1275.99 2039.21,1270.53 \n  2044.18,1265.02 2049.16,1259.47 2054.14,1253.93 2059.11,1248.45 2064.09,1243.04 2069.07,1237.76 2074.05,1232.65 2079.02,1227.75 2084,1223.09 2088.98,1218.71 \n  2093.95,1214.67 2098.93,1210.99 2103.91,1207.71 2108.88,1204.88 2113.86,1202.53 2118.84,1200.68 2123.81,1199.38 2128.79,1198.65 2133.77,1198.51 2138.75,1198.98 \n  2143.72,1200.09 2148.7,1201.83 2153.68,1204.22 2158.65,1207.25 2163.63,1210.92 2168.61,1215.2 2173.58,1220.09 2178.56,1225.53 2183.54,1231.48 2188.52,1237.9 \n  2193.49,1244.71 2198.47,1251.84 2203.45,1259.18 2208.42,1266.64 2213.4,1274.09 2218.38,1281.38 2223.35,1288.35 2228.33,1294.83 2233.31,1300.61 2238.29,1305.47 \n  2243.26,1309.16 2248.24,1311.42 2253.22,1311.93 2258.19,1310.38 2263.17,1306.4 2268.15,1299.61 2273.12,1289.57 2278.1,1275.84 2283.08,1257.92 2288.06,1235.27 \n  2293.03,1207.3 \n  \"/>\n<path clip-path=\"url(#clip5400)\" d=\"\nM1489.67 433.164 L2280.76 433.164 L2280.76 130.764 L1489.67 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1489.67,433.164 2280.76,433.164 2280.76,130.764 1489.67,130.764 1489.67,433.164 \n  \"/>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,191.244 1657.67,191.244 \n  \"/>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,251.724 1657.67,251.724 \n  \"/>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 2</text>\n</g>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1513.67,312.204 1657.67,312.204 \n  \"/>\n<circle clip-path=\"url(#clip5400)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n</g>\n<polyline clip-path=\"url(#clip5400)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1513.67,372.684 1657.67,372.684 \n  \"/>\n<g clip-path=\"url(#clip5400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 390.184)\" x=\"1681.67\" y=\"390.184\">Err</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip5700\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip5700)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip5701\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip5700)\" d=\"\n",
       "M242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip5702\">\n",
       "    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,1258.64 2352.76,1258.64 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,965.543 2352.76,965.543 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,672.447 2352.76,672.447 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,379.351 2352.76,379.351 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 242.516,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1258.64 267.839,1258.64 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,965.543 267.839,965.543 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,672.447 267.839,672.447 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,379.351 267.839,379.351 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,86.2547 267.839,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1276.14)\" x=\"218.516\" y=\"1276.14\">0.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 983.043)\" x=\"218.516\" y=\"983.043\">0.25</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 689.947)\" x=\"218.516\" y=\"689.947\">0.50</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 396.851)\" x=\"218.516\" y=\"396.851\">0.75</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1213.55 307.217,1213.11 312.194,1212.67 317.171,1212.22 322.148,1211.76 327.125,1211.3 332.102,1210.83 337.079,1210.35 342.056,1209.87 347.033,1209.38 \n",
       "  352.01,1208.88 356.987,1208.38 361.964,1207.86 366.941,1207.34 371.918,1206.81 376.895,1206.28 381.872,1205.73 386.849,1205.18 391.826,1204.62 396.803,1204.05 \n",
       "  401.78,1203.47 406.757,1202.88 411.734,1202.28 416.711,1201.67 421.688,1201.06 426.665,1200.43 431.642,1199.79 436.619,1199.14 441.596,1198.49 446.573,1197.82 \n",
       "  451.55,1197.14 456.527,1196.45 461.504,1195.74 466.481,1195.03 471.458,1194.3 476.434,1193.56 481.411,1192.81 486.388,1192.05 491.365,1191.27 496.342,1190.48 \n",
       "  501.319,1189.67 506.296,1188.86 511.273,1188.02 516.25,1187.18 521.227,1186.31 526.204,1185.44 531.181,1184.54 536.158,1183.63 541.135,1182.71 546.112,1181.76 \n",
       "  551.089,1180.8 556.066,1179.83 561.043,1178.83 566.02,1177.82 570.997,1176.78 575.974,1175.73 580.951,1174.66 585.928,1173.56 590.905,1172.45 595.882,1171.31 \n",
       "  600.859,1170.16 605.836,1168.98 610.813,1167.77 615.79,1166.55 620.767,1165.3 625.744,1164.02 630.721,1162.72 635.698,1161.39 640.675,1160.04 645.652,1158.65 \n",
       "  650.629,1157.24 655.606,1155.8 660.583,1154.33 665.56,1152.83 670.537,1151.3 675.514,1149.74 680.491,1148.14 685.468,1146.51 690.445,1144.84 695.422,1143.14 \n",
       "  700.399,1141.4 705.376,1139.62 710.353,1137.81 715.33,1135.95 720.306,1134.05 725.283,1132.11 730.26,1130.12 735.237,1128.09 740.214,1126.02 745.191,1123.89 \n",
       "  750.168,1121.72 755.145,1119.49 760.122,1117.22 765.099,1114.89 770.076,1112.5 775.053,1110.06 780.03,1107.56 785.007,1105 789.984,1102.37 794.961,1099.68 \n",
       "  799.938,1096.93 804.915,1094.11 809.892,1091.21 814.869,1088.25 819.846,1085.21 824.823,1082.09 829.8,1078.89 834.777,1075.61 839.754,1072.25 844.731,1068.8 \n",
       "  849.708,1065.26 854.685,1061.62 859.662,1057.89 864.639,1054.06 869.616,1050.12 874.593,1046.08 879.57,1041.93 884.547,1037.67 889.524,1033.29 894.501,1028.79 \n",
       "  899.478,1024.16 904.455,1019.41 909.432,1014.52 914.409,1009.49 919.386,1004.33 924.363,999.01 929.34,993.543 934.317,987.919 939.294,982.133 944.271,976.179 \n",
       "  949.248,970.052 954.225,963.746 959.202,957.254 964.179,950.572 969.155,943.693 974.132,936.61 979.109,929.317 984.086,921.807 989.063,914.073 994.04,906.108 \n",
       "  999.017,897.905 1003.99,889.456 1008.97,880.755 1013.95,871.793 1018.93,862.563 1023.9,853.057 1028.88,843.268 1033.86,833.187 1038.83,822.808 1043.81,812.122 \n",
       "  1048.79,801.123 1053.76,789.802 1058.74,778.153 1063.72,766.17 1068.7,753.845 1073.67,741.173 1078.65,728.148 1083.63,714.767 1088.6,701.024 1093.58,686.918 \n",
       "  1098.56,672.447 1103.53,657.609 1108.51,642.405 1113.49,626.839 1118.46,610.913 1123.44,594.634 1128.42,578.009 1133.4,561.051 1138.37,543.77 1143.35,526.185 \n",
       "  1148.33,508.313 1153.3,490.177 1158.28,471.804 1163.26,453.222 1168.23,434.467 1173.21,415.576 1178.19,396.592 1183.17,377.561 1188.14,358.536 1193.12,339.572 \n",
       "  1198.1,320.731 1203.07,302.079 1208.05,283.683 1213.03,265.619 1218,247.963 1222.98,230.795 1227.96,214.199 1232.94,198.257 1237.91,183.057 1242.89,168.683 \n",
       "  1247.87,155.218 1252.84,142.747 1257.82,131.346 1262.8,121.092 1267.77,112.053 1272.75,104.291 1277.73,97.8625 1282.71,92.8125 1287.68,89.1783 1292.66,86.987 \n",
       "  1297.64,86.2547 1302.61,86.987 1307.59,89.1783 1312.57,92.8125 1317.54,97.8625 1322.52,104.291 1327.5,112.053 1332.48,121.092 1337.45,131.346 1342.43,142.747 \n",
       "  1347.41,155.218 1352.38,168.683 1357.36,183.057 1362.34,198.257 1367.31,214.199 1372.29,230.795 1377.27,247.963 1382.24,265.619 1387.22,283.683 1392.2,302.079 \n",
       "  1397.18,320.731 1402.15,339.572 1407.13,358.536 1412.11,377.561 1417.08,396.592 1422.06,415.576 1427.04,434.467 1432.01,453.222 1436.99,471.804 1441.97,490.177 \n",
       "  1446.95,508.313 1451.92,526.185 1456.9,543.77 1461.88,561.051 1466.85,578.009 1471.83,594.634 1476.81,610.913 1481.78,626.839 1486.76,642.405 1491.74,657.609 \n",
       "  1496.72,672.447 1501.69,686.918 1506.67,701.024 1511.65,714.767 1516.62,728.148 1521.6,741.173 1526.58,753.845 1531.55,766.17 1536.53,778.153 1541.51,789.802 \n",
       "  1546.49,801.123 1551.46,812.122 1556.44,822.808 1561.42,833.187 1566.39,843.268 1571.37,853.057 1576.35,862.563 1581.32,871.793 1586.3,880.755 1591.28,889.456 \n",
       "  1596.25,897.905 1601.23,906.108 1606.21,914.073 1611.19,921.807 1616.16,929.317 1621.14,936.61 1626.12,943.693 1631.09,950.572 1636.07,957.254 1641.05,963.746 \n",
       "  1646.02,970.052 1651,976.179 1655.98,982.133 1660.96,987.919 1665.93,993.543 1670.91,999.01 1675.89,1004.33 1680.86,1009.49 1685.84,1014.52 1690.82,1019.41 \n",
       "  1695.79,1024.16 1700.77,1028.79 1705.75,1033.29 1710.73,1037.67 1715.7,1041.93 1720.68,1046.08 1725.66,1050.12 1730.63,1054.06 1735.61,1057.89 1740.59,1061.62 \n",
       "  1745.56,1065.26 1750.54,1068.8 1755.52,1072.25 1760.5,1075.61 1765.47,1078.89 1770.45,1082.09 1775.43,1085.21 1780.4,1088.25 1785.38,1091.21 1790.36,1094.11 \n",
       "  1795.33,1096.93 1800.31,1099.68 1805.29,1102.37 1810.27,1105 1815.24,1107.56 1820.22,1110.06 1825.2,1112.5 1830.17,1114.89 1835.15,1117.22 1840.13,1119.49 \n",
       "  1845.1,1121.72 1850.08,1123.89 1855.06,1126.02 1860.03,1128.09 1865.01,1130.12 1869.99,1132.11 1874.97,1134.05 1879.94,1135.95 1884.92,1137.81 1889.9,1139.62 \n",
       "  1894.87,1141.4 1899.85,1143.14 1904.83,1144.84 1909.8,1146.51 1914.78,1148.14 1919.76,1149.74 1924.74,1151.3 1929.71,1152.83 1934.69,1154.33 1939.67,1155.8 \n",
       "  1944.64,1157.24 1949.62,1158.65 1954.6,1160.04 1959.57,1161.39 1964.55,1162.72 1969.53,1164.02 1974.51,1165.3 1979.48,1166.55 1984.46,1167.77 1989.44,1168.98 \n",
       "  1994.41,1170.16 1999.39,1171.31 2004.37,1172.45 2009.34,1173.56 2014.32,1174.66 2019.3,1175.73 2024.28,1176.78 2029.25,1177.82 2034.23,1178.83 2039.21,1179.83 \n",
       "  2044.18,1180.8 2049.16,1181.76 2054.14,1182.71 2059.11,1183.63 2064.09,1184.54 2069.07,1185.44 2074.05,1186.31 2079.02,1187.18 2084,1188.02 2088.98,1188.86 \n",
       "  2093.95,1189.67 2098.93,1190.48 2103.91,1191.27 2108.88,1192.05 2113.86,1192.81 2118.84,1193.56 2123.81,1194.3 2128.79,1195.03 2133.77,1195.74 2138.75,1196.45 \n",
       "  2143.72,1197.14 2148.7,1197.82 2153.68,1198.49 2158.65,1199.14 2163.63,1199.79 2168.61,1200.43 2173.58,1201.06 2178.56,1201.67 2183.54,1202.28 2188.52,1202.88 \n",
       "  2193.49,1203.47 2198.47,1204.05 2203.45,1204.62 2208.42,1205.18 2213.4,1205.73 2218.38,1206.28 2223.35,1206.81 2228.33,1207.34 2233.31,1207.86 2238.29,1208.38 \n",
       "  2243.26,1208.88 2248.24,1209.38 2253.22,1209.87 2258.19,1210.35 2263.17,1210.83 2268.15,1211.3 2273.12,1211.76 2278.1,1212.22 2283.08,1212.67 2288.06,1213.11 \n",
       "  2293.03,1213.55 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1264.88 307.217,1236.48 312.194,1213.39 317.171,1195.01 322.148,1180.83 327.125,1170.33 332.102,1163.07 337.079,1158.62 342.056,1156.58 347.033,1156.6 \n",
       "  352.01,1158.36 356.987,1161.55 361.964,1165.89 366.941,1171.16 371.918,1177.1 376.895,1183.54 381.872,1190.29 386.849,1197.18 391.826,1204.07 396.803,1210.85 \n",
       "  401.78,1217.39 406.757,1223.62 411.734,1229.44 416.711,1234.79 421.688,1239.61 426.665,1243.86 431.642,1247.51 436.619,1250.53 441.596,1252.91 446.573,1254.63 \n",
       "  451.55,1255.69 456.527,1256.1 461.504,1255.87 466.481,1255.02 471.458,1253.56 476.434,1251.52 481.411,1248.92 486.388,1245.8 491.365,1242.2 496.342,1238.13 \n",
       "  501.319,1233.65 506.296,1228.78 511.273,1223.58 516.25,1218.07 521.227,1212.3 526.204,1206.31 531.181,1200.14 536.158,1193.83 541.135,1187.41 546.112,1180.93 \n",
       "  551.089,1174.43 556.066,1167.93 561.043,1161.48 566.02,1155.11 570.997,1148.84 575.974,1142.72 580.951,1136.76 585.928,1131 590.905,1125.46 595.882,1120.16 \n",
       "  600.859,1115.12 605.836,1110.37 610.813,1105.91 615.79,1101.77 620.767,1097.96 625.744,1094.48 630.721,1091.35 635.698,1088.57 640.675,1086.15 645.652,1084.09 \n",
       "  650.629,1082.39 655.606,1081.06 660.583,1080.08 665.56,1079.45 670.537,1079.17 675.514,1079.22 680.491,1079.61 685.468,1080.32 690.445,1081.33 695.422,1082.63 \n",
       "  700.399,1084.21 705.376,1086.05 710.353,1088.14 715.33,1090.45 720.306,1092.97 725.283,1095.67 730.26,1098.54 735.237,1101.55 740.214,1104.68 745.191,1107.91 \n",
       "  750.168,1111.21 755.145,1114.57 760.122,1117.95 765.099,1121.33 770.076,1124.68 775.053,1127.99 780.03,1131.23 785.007,1134.37 789.984,1137.38 794.961,1140.26 \n",
       "  799.938,1142.96 804.915,1145.46 809.892,1147.75 814.869,1149.8 819.846,1151.59 824.823,1153.1 829.8,1154.29 834.777,1155.17 839.754,1155.69 844.731,1155.86 \n",
       "  849.708,1155.64 854.685,1155.02 859.662,1153.98 864.639,1152.52 869.616,1150.61 874.593,1148.24 879.57,1145.39 884.547,1142.07 889.524,1138.25 894.501,1133.93 \n",
       "  899.478,1129.11 904.455,1123.76 909.432,1117.89 914.409,1111.5 919.386,1104.58 924.363,1097.12 929.34,1089.13 934.317,1080.61 939.294,1071.56 944.271,1061.98 \n",
       "  949.248,1051.88 954.225,1041.25 959.202,1030.11 964.179,1018.46 969.155,1006.32 974.132,993.687 979.109,980.576 984.086,966.998 989.063,952.965 994.04,938.492 \n",
       "  999.017,923.592 1003.99,908.282 1008.97,892.578 1013.95,876.496 1018.93,860.056 1023.9,843.276 1028.88,826.175 1033.86,808.775 1038.83,791.097 1043.81,773.162 \n",
       "  1048.79,754.993 1053.76,736.612 1058.74,718.044 1063.72,699.313 1068.7,680.442 1073.67,661.457 1078.65,642.384 1083.63,623.247 1088.6,604.073 1093.58,584.888 \n",
       "  1098.56,565.717 1103.53,546.588 1108.51,527.527 1113.49,508.56 1118.46,489.714 1123.44,471.015 1128.42,452.489 1133.4,434.164 1138.37,416.064 1143.35,398.215 \n",
       "  1148.33,380.644 1153.3,363.374 1158.28,346.432 1163.26,329.84 1168.23,313.624 1173.21,297.807 1178.19,282.411 1183.17,267.459 1188.14,252.972 1193.12,238.972 \n",
       "  1198.1,225.479 1203.07,212.512 1208.05,200.092 1213.03,188.235 1218,176.959 1222.98,166.281 1227.96,156.217 1232.94,146.781 1237.91,137.987 1242.89,129.847 \n",
       "  1247.87,122.375 1252.84,115.581 1257.82,109.475 1262.8,104.065 1267.77,99.361 1272.75,95.3686 1277.73,92.0941 1282.71,89.5422 1287.68,87.7167 1292.66,86.6203 \n",
       "  1297.64,86.2547 1302.61,86.6203 1307.59,87.7167 1312.57,89.5422 1317.54,92.0941 1322.52,95.3686 1327.5,99.361 1332.48,104.065 1337.45,109.475 1342.43,115.581 \n",
       "  1347.41,122.375 1352.38,129.847 1357.36,137.987 1362.34,146.781 1367.31,156.217 1372.29,166.281 1377.27,176.959 1382.24,188.235 1387.22,200.092 1392.2,212.512 \n",
       "  1397.18,225.479 1402.15,238.972 1407.13,252.972 1412.11,267.459 1417.08,282.411 1422.06,297.807 1427.04,313.624 1432.01,329.84 1436.99,346.432 1441.97,363.374 \n",
       "  1446.95,380.644 1451.92,398.215 1456.9,416.064 1461.88,434.164 1466.85,452.489 1471.83,471.015 1476.81,489.714 1481.78,508.56 1486.76,527.527 1491.74,546.588 \n",
       "  1496.72,565.717 1501.69,584.888 1506.67,604.073 1511.65,623.247 1516.62,642.384 1521.6,661.457 1526.58,680.442 1531.55,699.313 1536.53,718.044 1541.51,736.612 \n",
       "  1546.49,754.993 1551.46,773.162 1556.44,791.097 1561.42,808.775 1566.39,826.175 1571.37,843.276 1576.35,860.056 1581.32,876.496 1586.3,892.578 1591.28,908.282 \n",
       "  1596.25,923.592 1601.23,938.492 1606.21,952.965 1611.19,966.998 1616.16,980.576 1621.14,993.687 1626.12,1006.32 1631.09,1018.46 1636.07,1030.11 1641.05,1041.25 \n",
       "  1646.02,1051.88 1651,1061.98 1655.98,1071.56 1660.96,1080.61 1665.93,1089.13 1670.91,1097.12 1675.89,1104.58 1680.86,1111.5 1685.84,1117.89 1690.82,1123.76 \n",
       "  1695.79,1129.11 1700.77,1133.93 1705.75,1138.25 1710.73,1142.07 1715.7,1145.39 1720.68,1148.24 1725.66,1150.61 1730.63,1152.52 1735.61,1153.98 1740.59,1155.02 \n",
       "  1745.56,1155.64 1750.54,1155.86 1755.52,1155.69 1760.5,1155.17 1765.47,1154.29 1770.45,1153.1 1775.43,1151.59 1780.4,1149.8 1785.38,1147.75 1790.36,1145.46 \n",
       "  1795.33,1142.96 1800.31,1140.26 1805.29,1137.38 1810.27,1134.37 1815.24,1131.23 1820.22,1127.99 1825.2,1124.68 1830.17,1121.33 1835.15,1117.95 1840.13,1114.57 \n",
       "  1845.1,1111.21 1850.08,1107.91 1855.06,1104.68 1860.03,1101.55 1865.01,1098.54 1869.99,1095.67 1874.97,1092.97 1879.94,1090.45 1884.92,1088.14 1889.9,1086.05 \n",
       "  1894.87,1084.21 1899.85,1082.63 1904.83,1081.33 1909.8,1080.32 1914.78,1079.61 1919.76,1079.22 1924.74,1079.17 1929.71,1079.45 1934.69,1080.08 1939.67,1081.06 \n",
       "  1944.64,1082.39 1949.62,1084.09 1954.6,1086.15 1959.57,1088.57 1964.55,1091.35 1969.53,1094.48 1974.51,1097.96 1979.48,1101.77 1984.46,1105.91 1989.44,1110.37 \n",
       "  1994.41,1115.12 1999.39,1120.16 2004.37,1125.46 2009.34,1131 2014.32,1136.76 2019.3,1142.72 2024.28,1148.84 2029.25,1155.11 2034.23,1161.48 2039.21,1167.93 \n",
       "  2044.18,1174.43 2049.16,1180.93 2054.14,1187.41 2059.11,1193.83 2064.09,1200.14 2069.07,1206.31 2074.05,1212.3 2079.02,1218.07 2084,1223.58 2088.98,1228.78 \n",
       "  2093.95,1233.65 2098.93,1238.13 2103.91,1242.2 2108.88,1245.8 2113.86,1248.92 2118.84,1251.52 2123.81,1253.56 2128.79,1255.02 2133.77,1255.87 2138.75,1256.1 \n",
       "  2143.72,1255.69 2148.7,1254.63 2153.68,1252.91 2158.65,1250.53 2163.63,1247.51 2168.61,1243.86 2173.58,1239.61 2178.56,1234.79 2183.54,1229.44 2188.52,1223.62 \n",
       "  2193.49,1217.39 2198.47,1210.85 2203.45,1204.07 2208.42,1197.18 2213.4,1190.29 2218.38,1183.54 2223.35,1177.1 2228.33,1171.16 2233.31,1165.89 2238.29,1161.55 \n",
       "  2243.26,1158.36 2248.24,1156.6 2253.22,1156.58 2258.19,1158.62 2263.17,1163.07 2268.15,1170.33 2273.12,1180.83 2278.1,1195.01 2283.08,1213.39 2288.06,1236.48 \n",
       "  2293.03,1264.88 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  2282.9,1212.65 2203.08,1204.58 2049.91,1181.91 1835.79,1117.51 1578.07,865.792 1297.64,86.2547 1017.2,865.792 759.484,1117.51 545.366,1181.91 392.192,1204.58 \n",
       "  312.372,1212.65 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"2282.9\" cy=\"1212.65\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"2203.08\" cy=\"1204.58\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"2049.91\" cy=\"1181.91\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"1835.79\" cy=\"1117.51\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"1578.07\" cy=\"865.792\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"1017.2\" cy=\"865.792\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"759.484\" cy=\"1117.51\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"545.366\" cy=\"1181.91\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"392.192\" cy=\"1204.58\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip5702)\" cx=\"312.372\" cy=\"1212.65\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<polyline clip-path=\"url(#clip5702)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1207.3 307.217,1235.27 312.194,1257.92 317.171,1275.84 322.148,1289.57 327.125,1299.61 332.102,1306.4 337.079,1310.38 342.056,1311.93 347.033,1311.42 \n",
       "  352.01,1309.16 356.987,1305.47 361.964,1300.61 366.941,1294.83 371.918,1288.35 376.895,1281.38 381.872,1274.09 386.849,1266.64 391.826,1259.18 396.803,1251.84 \n",
       "  401.78,1244.71 406.757,1237.9 411.734,1231.48 416.711,1225.53 421.688,1220.09 426.665,1215.2 431.642,1210.92 436.619,1207.25 441.596,1204.22 446.573,1201.83 \n",
       "  451.55,1200.09 456.527,1198.98 461.504,1198.51 466.481,1198.65 471.458,1199.38 476.434,1200.68 481.411,1202.53 486.388,1204.88 491.365,1207.71 496.342,1210.99 \n",
       "  501.319,1214.67 506.296,1218.71 511.273,1223.09 516.25,1227.75 521.227,1232.65 526.204,1237.76 531.181,1243.04 536.158,1248.45 541.135,1253.93 546.112,1259.47 \n",
       "  551.089,1265.02 556.066,1270.53 561.043,1275.99 566.02,1281.35 570.997,1286.58 575.974,1291.65 580.951,1296.54 585.928,1301.2 590.905,1305.63 595.882,1309.79 \n",
       "  600.859,1313.67 605.836,1317.25 610.813,1320.5 615.79,1323.41 620.767,1325.98 625.744,1328.18 630.721,1330.01 635.698,1331.46 640.675,1332.52 645.652,1333.2 \n",
       "  650.629,1333.49 655.606,1333.39 660.583,1332.9 665.56,1332.03 670.537,1330.77 675.514,1329.15 680.491,1327.17 685.468,1324.83 690.445,1322.15 695.422,1319.15 \n",
       "  700.399,1315.83 705.376,1312.21 710.353,1308.3 715.33,1304.13 720.306,1299.72 725.283,1295.07 730.26,1290.22 735.237,1285.18 740.214,1279.97 745.191,1274.62 \n",
       "  750.168,1269.14 755.145,1263.57 760.122,1257.91 765.099,1252.2 770.076,1246.46 775.053,1240.71 780.03,1234.97 785.007,1229.27 789.984,1223.63 794.961,1218.07 \n",
       "  799.938,1212.61 804.915,1207.28 809.892,1202.1 814.869,1197.08 819.846,1192.26 824.823,1187.63 829.8,1183.24 834.777,1179.09 839.754,1175.19 844.731,1171.58 \n",
       "  849.708,1168.26 854.685,1165.24 859.662,1162.54 864.639,1160.18 869.616,1158.15 874.593,1156.48 879.57,1155.18 884.547,1154.24 889.524,1153.67 894.501,1153.49 \n",
       "  899.478,1153.69 904.455,1154.28 909.432,1155.26 914.409,1156.63 919.386,1158.39 924.363,1160.53 929.34,1163.05 934.317,1165.94 939.294,1169.21 944.271,1172.84 \n",
       "  949.248,1176.82 954.225,1181.13 959.202,1185.78 964.179,1190.75 969.155,1196.01 974.132,1201.56 979.109,1207.38 984.086,1213.45 989.063,1219.75 994.04,1226.25 \n",
       "  999.017,1232.95 1003.99,1239.81 1008.97,1246.82 1013.95,1253.94 1018.93,1261.15 1023.9,1268.42 1028.88,1275.73 1033.86,1283.05 1038.83,1290.35 1043.81,1297.6 \n",
       "  1048.79,1304.77 1053.76,1311.83 1058.74,1318.75 1063.72,1325.5 1068.7,1332.04 1073.67,1338.35 1078.65,1344.4 1083.63,1350.16 1088.6,1355.59 1093.58,1360.67 \n",
       "  1098.56,1365.37 1103.53,1369.66 1108.51,1373.52 1113.49,1376.92 1118.46,1379.84 1123.44,1382.26 1128.42,1384.16 1133.4,1385.53 1138.37,1386.35 1143.35,1386.61 \n",
       "  1148.33,1386.31 1153.3,1385.44 1158.28,1384.01 1163.26,1382.02 1168.23,1379.48 1173.21,1376.41 1178.19,1372.82 1183.17,1368.74 1188.14,1364.2 1193.12,1359.24 \n",
       "  1198.1,1353.89 1203.07,1348.2 1208.05,1342.23 1213.03,1336.02 1218,1329.64 1222.98,1323.15 1227.96,1316.62 1232.94,1310.12 1237.91,1303.71 1242.89,1297.47 \n",
       "  1247.87,1291.48 1252.84,1285.8 1257.82,1280.51 1262.8,1275.67 1267.77,1271.33 1272.75,1267.56 1277.73,1264.41 1282.71,1261.91 1287.68,1260.1 1292.66,1259.01 \n",
       "  1297.64,1258.64 1302.61,1259.01 1307.59,1260.1 1312.57,1261.91 1317.54,1264.41 1322.52,1267.56 1327.5,1271.33 1332.48,1275.67 1337.45,1280.51 1342.43,1285.8 \n",
       "  1347.41,1291.48 1352.38,1297.47 1357.36,1303.71 1362.34,1310.12 1367.31,1316.62 1372.29,1323.15 1377.27,1329.64 1382.24,1336.02 1387.22,1342.23 1392.2,1348.2 \n",
       "  1397.18,1353.89 1402.15,1359.24 1407.13,1364.2 1412.11,1368.74 1417.08,1372.82 1422.06,1376.41 1427.04,1379.48 1432.01,1382.02 1436.99,1384.01 1441.97,1385.44 \n",
       "  1446.95,1386.31 1451.92,1386.61 1456.9,1386.35 1461.88,1385.53 1466.85,1384.16 1471.83,1382.26 1476.81,1379.84 1481.78,1376.92 1486.76,1373.52 1491.74,1369.66 \n",
       "  1496.72,1365.37 1501.69,1360.67 1506.67,1355.59 1511.65,1350.16 1516.62,1344.4 1521.6,1338.35 1526.58,1332.04 1531.55,1325.5 1536.53,1318.75 1541.51,1311.83 \n",
       "  1546.49,1304.77 1551.46,1297.6 1556.44,1290.35 1561.42,1283.05 1566.39,1275.73 1571.37,1268.42 1576.35,1261.15 1581.32,1253.94 1586.3,1246.82 1591.28,1239.81 \n",
       "  1596.25,1232.95 1601.23,1226.25 1606.21,1219.75 1611.19,1213.45 1616.16,1207.38 1621.14,1201.56 1626.12,1196.01 1631.09,1190.75 1636.07,1185.78 1641.05,1181.13 \n",
       "  1646.02,1176.82 1651,1172.84 1655.98,1169.21 1660.96,1165.94 1665.93,1163.05 1670.91,1160.53 1675.89,1158.39 1680.86,1156.63 1685.84,1155.26 1690.82,1154.28 \n",
       "  1695.79,1153.69 1700.77,1153.49 1705.75,1153.67 1710.73,1154.24 1715.7,1155.18 1720.68,1156.48 1725.66,1158.15 1730.63,1160.18 1735.61,1162.54 1740.59,1165.24 \n",
       "  1745.56,1168.26 1750.54,1171.58 1755.52,1175.19 1760.5,1179.09 1765.47,1183.24 1770.45,1187.63 1775.43,1192.26 1780.4,1197.08 1785.38,1202.1 1790.36,1207.28 \n",
       "  1795.33,1212.61 1800.31,1218.07 1805.29,1223.63 1810.27,1229.27 1815.24,1234.97 1820.22,1240.71 1825.2,1246.46 1830.17,1252.2 1835.15,1257.91 1840.13,1263.57 \n",
       "  1845.1,1269.14 1850.08,1274.62 1855.06,1279.97 1860.03,1285.18 1865.01,1290.22 1869.99,1295.07 1874.97,1299.72 1879.94,1304.13 1884.92,1308.3 1889.9,1312.21 \n",
       "  1894.87,1315.83 1899.85,1319.15 1904.83,1322.15 1909.8,1324.83 1914.78,1327.17 1919.76,1329.15 1924.74,1330.77 1929.71,1332.03 1934.69,1332.9 1939.67,1333.39 \n",
       "  1944.64,1333.49 1949.62,1333.2 1954.6,1332.52 1959.57,1331.46 1964.55,1330.01 1969.53,1328.18 1974.51,1325.98 1979.48,1323.41 1984.46,1320.5 1989.44,1317.25 \n",
       "  1994.41,1313.67 1999.39,1309.79 2004.37,1305.63 2009.34,1301.2 2014.32,1296.54 2019.3,1291.65 2024.28,1286.58 2029.25,1281.35 2034.23,1275.99 2039.21,1270.53 \n",
       "  2044.18,1265.02 2049.16,1259.47 2054.14,1253.93 2059.11,1248.45 2064.09,1243.04 2069.07,1237.76 2074.05,1232.65 2079.02,1227.75 2084,1223.09 2088.98,1218.71 \n",
       "  2093.95,1214.67 2098.93,1210.99 2103.91,1207.71 2108.88,1204.88 2113.86,1202.53 2118.84,1200.68 2123.81,1199.38 2128.79,1198.65 2133.77,1198.51 2138.75,1198.98 \n",
       "  2143.72,1200.09 2148.7,1201.83 2153.68,1204.22 2158.65,1207.25 2163.63,1210.92 2168.61,1215.2 2173.58,1220.09 2178.56,1225.53 2183.54,1231.48 2188.52,1237.9 \n",
       "  2193.49,1244.71 2198.47,1251.84 2203.45,1259.18 2208.42,1266.64 2213.4,1274.09 2218.38,1281.38 2223.35,1288.35 2228.33,1294.83 2233.31,1300.61 2238.29,1305.47 \n",
       "  2243.26,1309.16 2248.24,1311.42 2253.22,1311.93 2258.19,1310.38 2263.17,1306.4 2268.15,1299.61 2273.12,1289.57 2278.1,1275.84 2283.08,1257.92 2288.06,1235.27 \n",
       "  2293.03,1207.3 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip5700)\" d=\"\n",
       "M1489.67 433.164 L2280.76 433.164 L2280.76 130.764 L1489.67 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1489.67,433.164 2280.76,433.164 2280.76,130.764 1489.67,130.764 1489.67,433.164 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,191.244 1657.67,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 208.744)\" x=\"1681.67\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,251.724 1657.67,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 269.224)\" x=\"1681.67\" y=\"269.224\">Polynomial interpolation 2</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,312.204 1657.67,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip5700)\" cx=\"1597.67\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 329.704)\" x=\"1681.67\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip5700)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1513.67,372.684 1657.67,372.684 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip5700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1681.67, 390.184)\" x=\"1681.67\" y=\"390.184\">Err</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=4}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "println(maximum(abs.(yy_ori .- yy_int)))\n",
    "Plots.plot!(xx, yy_ori .- yy_int, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Err\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 积分结果\n",
    "对原题函数$f(x)$使用$n=10$的切比雪夫节点多项式插值积分公式进行积分，可得积分值为$0.7103856928095083$，误差为$-0.16102538603150185$。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7103856928095085\n",
      "-0.16102538603150207"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "s = 0\n",
    "for i in 1:1:11\n",
    "    s += A[i]*HwMath.m_f(-1+0.2*(i-1))\n",
    "end\n",
    "println(s)\n",
    "println(0.4*atan(5) - s) # n=10切比雪夫的积分误差"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 插值积分公式取$n=0$时\n",
    "\n",
    "### 积分公式推导\n",
    "\n",
    "$n=0$时，由于只有一个插值点$x_0=0$，如图所示，其插值多项式即为$L_0(x)=y_0,y_0=f(x_0)=1$。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip6000\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip6000)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip6001\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip6000)\" d=\"\nM215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip6002\">\n    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  276.235,1425.62 276.235,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  780.245,1425.62 780.245,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,1168.15 2352.76,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,897.675 2352.76,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,627.202 2352.76,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,356.728 2352.76,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 215.754,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  276.235,1425.62 276.235,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  780.245,1425.62 780.245,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1168.15 241.398,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,897.675 241.398,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,627.202 241.398,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,356.728 241.398,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,86.2547 241.398,86.2547 \n  \"/>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n  2292.27,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip6002)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,86.2547 281.275,86.2547 286.315,86.2547 291.356,86.2547 296.396,86.2547 301.436,86.2547 306.476,86.2547 311.516,86.2547 316.556,86.2547 321.596,86.2547 \n  326.636,86.2547 331.676,86.2547 336.716,86.2547 341.757,86.2547 346.797,86.2547 351.837,86.2547 356.877,86.2547 361.917,86.2547 366.957,86.2547 371.997,86.2547 \n  377.037,86.2547 382.077,86.2547 387.117,86.2547 392.158,86.2547 397.198,86.2547 402.238,86.2547 407.278,86.2547 412.318,86.2547 417.358,86.2547 422.398,86.2547 \n  427.438,86.2547 432.478,86.2547 437.518,86.2547 442.559,86.2547 447.599,86.2547 452.639,86.2547 457.679,86.2547 462.719,86.2547 467.759,86.2547 472.799,86.2547 \n  477.839,86.2547 482.879,86.2547 487.919,86.2547 492.96,86.2547 498,86.2547 503.04,86.2547 508.08,86.2547 513.12,86.2547 518.16,86.2547 523.2,86.2547 \n  528.24,86.2547 533.28,86.2547 538.32,86.2547 543.36,86.2547 548.401,86.2547 553.441,86.2547 558.481,86.2547 563.521,86.2547 568.561,86.2547 573.601,86.2547 \n  578.641,86.2547 583.681,86.2547 588.721,86.2547 593.761,86.2547 598.802,86.2547 603.842,86.2547 608.882,86.2547 613.922,86.2547 618.962,86.2547 624.002,86.2547 \n  629.042,86.2547 634.082,86.2547 639.122,86.2547 644.162,86.2547 649.203,86.2547 654.243,86.2547 659.283,86.2547 664.323,86.2547 669.363,86.2547 674.403,86.2547 \n  679.443,86.2547 684.483,86.2547 689.523,86.2547 694.563,86.2547 699.604,86.2547 704.644,86.2547 709.684,86.2547 714.724,86.2547 719.764,86.2547 724.804,86.2547 \n  729.844,86.2547 734.884,86.2547 739.924,86.2547 744.964,86.2547 750.005,86.2547 755.045,86.2547 760.085,86.2547 765.125,86.2547 770.165,86.2547 775.205,86.2547 \n  780.245,86.2547 785.285,86.2547 790.325,86.2547 795.365,86.2547 800.406,86.2547 805.446,86.2547 810.486,86.2547 815.526,86.2547 820.566,86.2547 825.606,86.2547 \n  830.646,86.2547 835.686,86.2547 840.726,86.2547 845.766,86.2547 850.807,86.2547 855.847,86.2547 860.887,86.2547 865.927,86.2547 870.967,86.2547 876.007,86.2547 \n  881.047,86.2547 886.087,86.2547 891.127,86.2547 896.167,86.2547 901.207,86.2547 906.248,86.2547 911.288,86.2547 916.328,86.2547 921.368,86.2547 926.408,86.2547 \n  931.448,86.2547 936.488,86.2547 941.528,86.2547 946.568,86.2547 951.608,86.2547 956.649,86.2547 961.689,86.2547 966.729,86.2547 971.769,86.2547 976.809,86.2547 \n  981.849,86.2547 986.889,86.2547 991.929,86.2547 996.969,86.2547 1002.01,86.2547 1007.05,86.2547 1012.09,86.2547 1017.13,86.2547 1022.17,86.2547 1027.21,86.2547 \n  1032.25,86.2547 1037.29,86.2547 1042.33,86.2547 1047.37,86.2547 1052.41,86.2547 1057.45,86.2547 1062.49,86.2547 1067.53,86.2547 1072.57,86.2547 1077.61,86.2547 \n  1082.65,86.2547 1087.69,86.2547 1092.73,86.2547 1097.77,86.2547 1102.81,86.2547 1107.85,86.2547 1112.89,86.2547 1117.93,86.2547 1122.97,86.2547 1128.01,86.2547 \n  1133.05,86.2547 1138.09,86.2547 1143.13,86.2547 1148.17,86.2547 1153.21,86.2547 1158.25,86.2547 1163.29,86.2547 1168.33,86.2547 1173.37,86.2547 1178.41,86.2547 \n  1183.45,86.2547 1188.49,86.2547 1193.53,86.2547 1198.57,86.2547 1203.61,86.2547 1208.65,86.2547 1213.69,86.2547 1218.73,86.2547 1223.77,86.2547 1228.81,86.2547 \n  1233.85,86.2547 1238.89,86.2547 1243.93,86.2547 1248.97,86.2547 1254.01,86.2547 1259.05,86.2547 1264.09,86.2547 1269.13,86.2547 1274.17,86.2547 1279.21,86.2547 \n  1284.25,86.2547 1289.3,86.2547 1294.34,86.2547 1299.38,86.2547 1304.42,86.2547 1309.46,86.2547 1314.5,86.2547 1319.54,86.2547 1324.58,86.2547 1329.62,86.2547 \n  1334.66,86.2547 1339.7,86.2547 1344.74,86.2547 1349.78,86.2547 1354.82,86.2547 1359.86,86.2547 1364.9,86.2547 1369.94,86.2547 1374.98,86.2547 1380.02,86.2547 \n  1385.06,86.2547 1390.1,86.2547 1395.14,86.2547 1400.18,86.2547 1405.22,86.2547 1410.26,86.2547 1415.3,86.2547 1420.34,86.2547 1425.38,86.2547 1430.42,86.2547 \n  1435.46,86.2547 1440.5,86.2547 1445.54,86.2547 1450.58,86.2547 1455.62,86.2547 1460.66,86.2547 1465.7,86.2547 1470.74,86.2547 1475.78,86.2547 1480.82,86.2547 \n  1485.86,86.2547 1490.9,86.2547 1495.94,86.2547 1500.98,86.2547 1506.02,86.2547 1511.06,86.2547 1516.1,86.2547 1521.14,86.2547 1526.18,86.2547 1531.22,86.2547 \n  1536.26,86.2547 1541.3,86.2547 1546.34,86.2547 1551.38,86.2547 1556.42,86.2547 1561.46,86.2547 1566.5,86.2547 1571.54,86.2547 1576.58,86.2547 1581.62,86.2547 \n  1586.66,86.2547 1591.7,86.2547 1596.74,86.2547 1601.78,86.2547 1606.82,86.2547 1611.86,86.2547 1616.9,86.2547 1621.94,86.2547 1626.98,86.2547 1632.02,86.2547 \n  1637.06,86.2547 1642.1,86.2547 1647.14,86.2547 1652.18,86.2547 1657.22,86.2547 1662.26,86.2547 1667.3,86.2547 1672.34,86.2547 1677.38,86.2547 1682.42,86.2547 \n  1687.46,86.2547 1692.5,86.2547 1697.54,86.2547 1702.58,86.2547 1707.62,86.2547 1712.66,86.2547 1717.7,86.2547 1722.74,86.2547 1727.78,86.2547 1732.82,86.2547 \n  1737.86,86.2547 1742.9,86.2547 1747.94,86.2547 1752.98,86.2547 1758.02,86.2547 1763.06,86.2547 1768.1,86.2547 1773.14,86.2547 1778.18,86.2547 1783.22,86.2547 \n  1788.26,86.2547 1793.3,86.2547 1798.35,86.2547 1803.39,86.2547 1808.43,86.2547 1813.47,86.2547 1818.51,86.2547 1823.55,86.2547 1828.59,86.2547 1833.63,86.2547 \n  1838.67,86.2547 1843.71,86.2547 1848.75,86.2547 1853.79,86.2547 1858.83,86.2547 1863.87,86.2547 1868.91,86.2547 1873.95,86.2547 1878.99,86.2547 1884.03,86.2547 \n  1889.07,86.2547 1894.11,86.2547 1899.15,86.2547 1904.19,86.2547 1909.23,86.2547 1914.27,86.2547 1919.31,86.2547 1924.35,86.2547 1929.39,86.2547 1934.43,86.2547 \n  1939.47,86.2547 1944.51,86.2547 1949.55,86.2547 1954.59,86.2547 1959.63,86.2547 1964.67,86.2547 1969.71,86.2547 1974.75,86.2547 1979.79,86.2547 1984.83,86.2547 \n  1989.87,86.2547 1994.91,86.2547 1999.95,86.2547 2004.99,86.2547 2010.03,86.2547 2015.07,86.2547 2020.11,86.2547 2025.15,86.2547 2030.19,86.2547 2035.23,86.2547 \n  2040.27,86.2547 2045.31,86.2547 2050.35,86.2547 2055.39,86.2547 2060.43,86.2547 2065.47,86.2547 2070.51,86.2547 2075.55,86.2547 2080.59,86.2547 2085.63,86.2547 \n  2090.67,86.2547 2095.71,86.2547 2100.75,86.2547 2105.79,86.2547 2110.83,86.2547 2115.87,86.2547 2120.91,86.2547 2125.95,86.2547 2130.99,86.2547 2136.03,86.2547 \n  2141.07,86.2547 2146.11,86.2547 2151.15,86.2547 2156.19,86.2547 2161.23,86.2547 2166.27,86.2547 2171.31,86.2547 2176.35,86.2547 2181.39,86.2547 2186.43,86.2547 \n  2191.47,86.2547 2196.51,86.2547 2201.55,86.2547 2206.59,86.2547 2211.63,86.2547 2216.67,86.2547 2221.71,86.2547 2226.75,86.2547 2231.79,86.2547 2236.83,86.2547 \n  2241.87,86.2547 2246.91,86.2547 2251.95,86.2547 2256.99,86.2547 2262.03,86.2547 2267.07,86.2547 2272.11,86.2547 2277.15,86.2547 2282.19,86.2547 2287.23,86.2547 \n  2292.27,86.2547 \n  \"/>\n<circle clip-path=\"url(#clip6002)\" cx=\"1284.25\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip6000)\" d=\"\nM1394.66 372.684 L2280.76 372.684 L2280.76 130.764 L1394.66 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1394.66,372.684 2280.76,372.684 2280.76,130.764 1394.66,130.764 1394.66,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1418.66,191.244 1562.66,191.244 \n  \"/>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 208.744)\" x=\"1586.66\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1418.66,251.724 1562.66,251.724 \n  \"/>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 269.224)\" x=\"1586.66\" y=\"269.224\">Polynomial interpolation 2,n=0</text>\n</g>\n<polyline clip-path=\"url(#clip6000)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1418.66,312.204 1562.66,312.204 \n  \"/>\n<circle clip-path=\"url(#clip6000)\" cx=\"1502.66\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip6000)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 329.704)\" x=\"1586.66\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip6300\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip6300)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip6301\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip6300)\" d=\"\n",
       "M215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip6302\">\n",
       "    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,1168.15 2352.76,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,897.675 2352.76,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,627.202 2352.76,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,356.728 2352.76,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 215.754,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1168.15 241.398,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,897.675 241.398,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,627.202 241.398,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,356.728 241.398,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,86.2547 241.398,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n",
       "  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n",
       "  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n",
       "  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n",
       "  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n",
       "  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n",
       "  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n",
       "  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n",
       "  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n",
       "  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n",
       "  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n",
       "  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n",
       "  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n",
       "  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n",
       "  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n",
       "  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n",
       "  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n",
       "  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n",
       "  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n",
       "  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n",
       "  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n",
       "  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n",
       "  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n",
       "  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n",
       "  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n",
       "  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n",
       "  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n",
       "  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n",
       "  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n",
       "  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n",
       "  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n",
       "  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n",
       "  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n",
       "  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n",
       "  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n",
       "  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n",
       "  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n",
       "  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n",
       "  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n",
       "  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n",
       "  2292.27,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6302)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,86.2547 281.275,86.2547 286.315,86.2547 291.356,86.2547 296.396,86.2547 301.436,86.2547 306.476,86.2547 311.516,86.2547 316.556,86.2547 321.596,86.2547 \n",
       "  326.636,86.2547 331.676,86.2547 336.716,86.2547 341.757,86.2547 346.797,86.2547 351.837,86.2547 356.877,86.2547 361.917,86.2547 366.957,86.2547 371.997,86.2547 \n",
       "  377.037,86.2547 382.077,86.2547 387.117,86.2547 392.158,86.2547 397.198,86.2547 402.238,86.2547 407.278,86.2547 412.318,86.2547 417.358,86.2547 422.398,86.2547 \n",
       "  427.438,86.2547 432.478,86.2547 437.518,86.2547 442.559,86.2547 447.599,86.2547 452.639,86.2547 457.679,86.2547 462.719,86.2547 467.759,86.2547 472.799,86.2547 \n",
       "  477.839,86.2547 482.879,86.2547 487.919,86.2547 492.96,86.2547 498,86.2547 503.04,86.2547 508.08,86.2547 513.12,86.2547 518.16,86.2547 523.2,86.2547 \n",
       "  528.24,86.2547 533.28,86.2547 538.32,86.2547 543.36,86.2547 548.401,86.2547 553.441,86.2547 558.481,86.2547 563.521,86.2547 568.561,86.2547 573.601,86.2547 \n",
       "  578.641,86.2547 583.681,86.2547 588.721,86.2547 593.761,86.2547 598.802,86.2547 603.842,86.2547 608.882,86.2547 613.922,86.2547 618.962,86.2547 624.002,86.2547 \n",
       "  629.042,86.2547 634.082,86.2547 639.122,86.2547 644.162,86.2547 649.203,86.2547 654.243,86.2547 659.283,86.2547 664.323,86.2547 669.363,86.2547 674.403,86.2547 \n",
       "  679.443,86.2547 684.483,86.2547 689.523,86.2547 694.563,86.2547 699.604,86.2547 704.644,86.2547 709.684,86.2547 714.724,86.2547 719.764,86.2547 724.804,86.2547 \n",
       "  729.844,86.2547 734.884,86.2547 739.924,86.2547 744.964,86.2547 750.005,86.2547 755.045,86.2547 760.085,86.2547 765.125,86.2547 770.165,86.2547 775.205,86.2547 \n",
       "  780.245,86.2547 785.285,86.2547 790.325,86.2547 795.365,86.2547 800.406,86.2547 805.446,86.2547 810.486,86.2547 815.526,86.2547 820.566,86.2547 825.606,86.2547 \n",
       "  830.646,86.2547 835.686,86.2547 840.726,86.2547 845.766,86.2547 850.807,86.2547 855.847,86.2547 860.887,86.2547 865.927,86.2547 870.967,86.2547 876.007,86.2547 \n",
       "  881.047,86.2547 886.087,86.2547 891.127,86.2547 896.167,86.2547 901.207,86.2547 906.248,86.2547 911.288,86.2547 916.328,86.2547 921.368,86.2547 926.408,86.2547 \n",
       "  931.448,86.2547 936.488,86.2547 941.528,86.2547 946.568,86.2547 951.608,86.2547 956.649,86.2547 961.689,86.2547 966.729,86.2547 971.769,86.2547 976.809,86.2547 \n",
       "  981.849,86.2547 986.889,86.2547 991.929,86.2547 996.969,86.2547 1002.01,86.2547 1007.05,86.2547 1012.09,86.2547 1017.13,86.2547 1022.17,86.2547 1027.21,86.2547 \n",
       "  1032.25,86.2547 1037.29,86.2547 1042.33,86.2547 1047.37,86.2547 1052.41,86.2547 1057.45,86.2547 1062.49,86.2547 1067.53,86.2547 1072.57,86.2547 1077.61,86.2547 \n",
       "  1082.65,86.2547 1087.69,86.2547 1092.73,86.2547 1097.77,86.2547 1102.81,86.2547 1107.85,86.2547 1112.89,86.2547 1117.93,86.2547 1122.97,86.2547 1128.01,86.2547 \n",
       "  1133.05,86.2547 1138.09,86.2547 1143.13,86.2547 1148.17,86.2547 1153.21,86.2547 1158.25,86.2547 1163.29,86.2547 1168.33,86.2547 1173.37,86.2547 1178.41,86.2547 \n",
       "  1183.45,86.2547 1188.49,86.2547 1193.53,86.2547 1198.57,86.2547 1203.61,86.2547 1208.65,86.2547 1213.69,86.2547 1218.73,86.2547 1223.77,86.2547 1228.81,86.2547 \n",
       "  1233.85,86.2547 1238.89,86.2547 1243.93,86.2547 1248.97,86.2547 1254.01,86.2547 1259.05,86.2547 1264.09,86.2547 1269.13,86.2547 1274.17,86.2547 1279.21,86.2547 \n",
       "  1284.25,86.2547 1289.3,86.2547 1294.34,86.2547 1299.38,86.2547 1304.42,86.2547 1309.46,86.2547 1314.5,86.2547 1319.54,86.2547 1324.58,86.2547 1329.62,86.2547 \n",
       "  1334.66,86.2547 1339.7,86.2547 1344.74,86.2547 1349.78,86.2547 1354.82,86.2547 1359.86,86.2547 1364.9,86.2547 1369.94,86.2547 1374.98,86.2547 1380.02,86.2547 \n",
       "  1385.06,86.2547 1390.1,86.2547 1395.14,86.2547 1400.18,86.2547 1405.22,86.2547 1410.26,86.2547 1415.3,86.2547 1420.34,86.2547 1425.38,86.2547 1430.42,86.2547 \n",
       "  1435.46,86.2547 1440.5,86.2547 1445.54,86.2547 1450.58,86.2547 1455.62,86.2547 1460.66,86.2547 1465.7,86.2547 1470.74,86.2547 1475.78,86.2547 1480.82,86.2547 \n",
       "  1485.86,86.2547 1490.9,86.2547 1495.94,86.2547 1500.98,86.2547 1506.02,86.2547 1511.06,86.2547 1516.1,86.2547 1521.14,86.2547 1526.18,86.2547 1531.22,86.2547 \n",
       "  1536.26,86.2547 1541.3,86.2547 1546.34,86.2547 1551.38,86.2547 1556.42,86.2547 1561.46,86.2547 1566.5,86.2547 1571.54,86.2547 1576.58,86.2547 1581.62,86.2547 \n",
       "  1586.66,86.2547 1591.7,86.2547 1596.74,86.2547 1601.78,86.2547 1606.82,86.2547 1611.86,86.2547 1616.9,86.2547 1621.94,86.2547 1626.98,86.2547 1632.02,86.2547 \n",
       "  1637.06,86.2547 1642.1,86.2547 1647.14,86.2547 1652.18,86.2547 1657.22,86.2547 1662.26,86.2547 1667.3,86.2547 1672.34,86.2547 1677.38,86.2547 1682.42,86.2547 \n",
       "  1687.46,86.2547 1692.5,86.2547 1697.54,86.2547 1702.58,86.2547 1707.62,86.2547 1712.66,86.2547 1717.7,86.2547 1722.74,86.2547 1727.78,86.2547 1732.82,86.2547 \n",
       "  1737.86,86.2547 1742.9,86.2547 1747.94,86.2547 1752.98,86.2547 1758.02,86.2547 1763.06,86.2547 1768.1,86.2547 1773.14,86.2547 1778.18,86.2547 1783.22,86.2547 \n",
       "  1788.26,86.2547 1793.3,86.2547 1798.35,86.2547 1803.39,86.2547 1808.43,86.2547 1813.47,86.2547 1818.51,86.2547 1823.55,86.2547 1828.59,86.2547 1833.63,86.2547 \n",
       "  1838.67,86.2547 1843.71,86.2547 1848.75,86.2547 1853.79,86.2547 1858.83,86.2547 1863.87,86.2547 1868.91,86.2547 1873.95,86.2547 1878.99,86.2547 1884.03,86.2547 \n",
       "  1889.07,86.2547 1894.11,86.2547 1899.15,86.2547 1904.19,86.2547 1909.23,86.2547 1914.27,86.2547 1919.31,86.2547 1924.35,86.2547 1929.39,86.2547 1934.43,86.2547 \n",
       "  1939.47,86.2547 1944.51,86.2547 1949.55,86.2547 1954.59,86.2547 1959.63,86.2547 1964.67,86.2547 1969.71,86.2547 1974.75,86.2547 1979.79,86.2547 1984.83,86.2547 \n",
       "  1989.87,86.2547 1994.91,86.2547 1999.95,86.2547 2004.99,86.2547 2010.03,86.2547 2015.07,86.2547 2020.11,86.2547 2025.15,86.2547 2030.19,86.2547 2035.23,86.2547 \n",
       "  2040.27,86.2547 2045.31,86.2547 2050.35,86.2547 2055.39,86.2547 2060.43,86.2547 2065.47,86.2547 2070.51,86.2547 2075.55,86.2547 2080.59,86.2547 2085.63,86.2547 \n",
       "  2090.67,86.2547 2095.71,86.2547 2100.75,86.2547 2105.79,86.2547 2110.83,86.2547 2115.87,86.2547 2120.91,86.2547 2125.95,86.2547 2130.99,86.2547 2136.03,86.2547 \n",
       "  2141.07,86.2547 2146.11,86.2547 2151.15,86.2547 2156.19,86.2547 2161.23,86.2547 2166.27,86.2547 2171.31,86.2547 2176.35,86.2547 2181.39,86.2547 2186.43,86.2547 \n",
       "  2191.47,86.2547 2196.51,86.2547 2201.55,86.2547 2206.59,86.2547 2211.63,86.2547 2216.67,86.2547 2221.71,86.2547 2226.75,86.2547 2231.79,86.2547 2236.83,86.2547 \n",
       "  2241.87,86.2547 2246.91,86.2547 2251.95,86.2547 2256.99,86.2547 2262.03,86.2547 2267.07,86.2547 2272.11,86.2547 2277.15,86.2547 2282.19,86.2547 2287.23,86.2547 \n",
       "  2292.27,86.2547 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip6302)\" cx=\"1284.25\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip6300)\" d=\"\n",
       "M1394.66 372.684 L2280.76 372.684 L2280.76 130.764 L1394.66 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1394.66,372.684 2280.76,372.684 2280.76,130.764 1394.66,130.764 1394.66,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1418.66,191.244 1562.66,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 208.744)\" x=\"1586.66\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1418.66,251.724 1562.66,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 269.224)\" x=\"1586.66\" y=\"269.224\">Polynomial interpolation 2,n=0</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6300)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1418.66,312.204 1562.66,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip6300)\" cx=\"1502.66\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip6300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1586.66, 329.704)\" x=\"1586.66\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xo, yo, xx, yy_ori, yy_int, A = polyint_2(0)\n",
    "yy_int = xx*0 .+ 1\n",
    "# pyplot()\n",
    "\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 2,n=0\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "所以其插值积分公式为\n",
    "\n",
    "$$\\int_{-1}^1{f(x)\\mathrm{d}x}\\approx 2f(x_0)$$\n",
    "\n",
    "### 代数精度\n",
    "\n",
    "令$f\\left(x\\right)=x^0=1$，有\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{\\mathrm{d}x}=2\n",
    "\\\\\n",
    "2f\\left(x_0\\right)&=2\\times 1=2\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "令$f\\left(x\\right)=x^1=x$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{x\\mathrm{d}x}=0\n",
    "\\\\\n",
    "2f\\left(x_0\\right)&=2\\times 0=0\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "令$f\\left(x\\right)=x^2$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{x^2\\mathrm{d}x}=\\frac{2}{3}\n",
    "\\\\\n",
    "2f\\left(x_0\\right)&=2\\times 1=2\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "所以对$f\\left(x\\right)=x^0=1$和$f\\left(x\\right)=x^1=x$是积分公式精确成立的，所以有$1$次代数精度。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "### 积分余项\n",
    "\n",
    "方法1：\n",
    "$$\n",
    "\\begin{aligned}\n",
    "R&=\\int_{-1}^1{f\\left( x \\right) \\mathrm{d}x}-2f\\left( x_0 \\right)\n",
    "\\\\\n",
    "&=\\int_{-1}^1{\\left( f\\left( x \\right) -f\\left( x_0 \\right) \\right) \\mathrm{d}x}\n",
    "\\\\\n",
    "&=\\int_{-1}^1{\\frac{f''\\left( \\xi \\right)}{2!} x^2\\mathrm{d}x}\n",
    "\\\\\n",
    "&=\\frac{f''\\left( \\eta \\right)}{2!} \\int_{-1}^1{x^2\\mathrm{d}x}=\\frac{1}{3}f''\\left( \\eta \\right)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "方法2：\n",
    "\n",
    "由于插值积分公式$\\int_{-1}^1{f\\left( x \\right) \\mathrm{d}x}\\approx 2f(x_0)$具有$1$次代数精度，所以对于任意$f(x)$，次公式的积分余项必然具有形式：\n",
    "\n",
    "$$R=\\int_{-1}^{1}{f(x)\\mathrm{d}x}-2f(x_0)=Cf^{(2)}\\left(\\xi\\right)$$\n",
    "\n",
    "设$f\\left(x\\right)=x^{2}$，则有\n",
    "\n",
    "$$R=\\int_{-1}^{1}{x^{2}\\mathrm{d}x}-2f(x_0)= \\frac{2}{3} - 0 =Cf^{(2)}\\left(\\xi\\right)=C\\times2!$$\n",
    "\n",
    "所以\n",
    "\n",
    "$$C=\\frac{1}{3}$$\n",
    "\n",
    "所以积分余项可以写为：\n",
    "\n",
    "$$R=\\int_{-1}^{1}{f(x)\\mathrm{d}x}-2f(x_0)=\\frac{1}{3}f^{(2)}\\left(\\xi\\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 计算积分值和误差估计\n",
    "\n",
    "用$n=0$时的积分公式计算函数$f(x)=\\frac{1}{1+25x^2}$的积分值，则有：\n",
    "\n",
    "$$I_0=\\int_{-1}^1{\\frac{1}{1+25x^2}\\mathrm{d}x} \\approx 2f(x_0) = 2$$\n",
    "\n",
    "与精确积分值$I=\\int_{-1}^{1}{f(x)\\mathrm{d}x}=\\frac{2}{5}\\mathrm{a}\\tan 5=0.5493603067780064$比较，则得到积分的误差为：\n",
    "\n",
    "$$R=I-I_0=-1.4506396932219936$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.4506396932219936"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.5493603067780064-2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 插值积分公式取$n=1$时\n",
    "\n",
    "### 积分公式推导\n",
    "\n",
    "$n=1$时，插值点横坐标为$x_0=-\\frac{\\sqrt{2}}{2}$和$x_1=+\\frac{\\sqrt{2}}{2}$，对应纵坐标都是$\\frac{2}{27}$，插值多项式为\n",
    "\n",
    "$$L_1(x)=f(x_0)\\frac{x-x_1}{x_0-x_1}+f(x_1)\\frac{x-x_0}{x_1-x_0}$$\n",
    "\n",
    "\n",
    "所以在$[-1,1]$上的插值积分公式为\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^{1}{f(x)\\mathrm{d}x}\n",
    "&\\approx A_0f(x_0)+A_1f(x_1)\n",
    "\\\\\n",
    "&=\\int_{-1}^{1}{\\frac{x-x_1}{x_0-x_1}\\mathrm{d}x}f(x_0)+\\int_{-1}^{1}{\\frac{x-x_0}{x_1-x_0}\\mathrm{d}x}f(x_1)\n",
    "\\\\\n",
    "&=f(x_0)+f(x_1)\n",
    "\\\\\n",
    "&=f\\left(-\\frac{\\sqrt{2}}{2}\\right)+f\\left(\\frac{\\sqrt{2}}{2}\\right)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "对于$f(x)$的插值多项式函数如图所示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip6600\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip6600)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip6601\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip6600)\" d=\"\nM215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip6602\">\n    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  276.235,1425.62 276.235,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  780.245,1425.62 780.245,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,1168.15 2352.76,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,897.675 2352.76,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,627.202 2352.76,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,356.728 2352.76,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 215.754,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  276.235,1425.62 276.235,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  780.245,1425.62 780.245,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1168.15 241.398,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,897.675 241.398,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,627.202 241.398,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,356.728 241.398,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,86.2547 241.398,86.2547 \n  \"/>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n  2292.27,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1338.45 281.275,1338.45 286.315,1338.45 291.356,1338.45 296.396,1338.45 301.436,1338.45 306.476,1338.45 311.516,1338.45 316.556,1338.45 321.596,1338.45 \n  326.636,1338.45 331.676,1338.45 336.716,1338.45 341.757,1338.45 346.797,1338.45 351.837,1338.45 356.877,1338.45 361.917,1338.45 366.957,1338.45 371.997,1338.45 \n  377.037,1338.45 382.077,1338.45 387.117,1338.45 392.158,1338.45 397.198,1338.45 402.238,1338.45 407.278,1338.45 412.318,1338.45 417.358,1338.45 422.398,1338.45 \n  427.438,1338.45 432.478,1338.45 437.518,1338.45 442.559,1338.45 447.599,1338.45 452.639,1338.45 457.679,1338.45 462.719,1338.45 467.759,1338.45 472.799,1338.45 \n  477.839,1338.45 482.879,1338.45 487.919,1338.45 492.96,1338.45 498,1338.45 503.04,1338.45 508.08,1338.45 513.12,1338.45 518.16,1338.45 523.2,1338.45 \n  528.24,1338.45 533.28,1338.45 538.32,1338.45 543.36,1338.45 548.401,1338.45 553.441,1338.45 558.481,1338.45 563.521,1338.45 568.561,1338.45 573.601,1338.45 \n  578.641,1338.45 583.681,1338.45 588.721,1338.45 593.761,1338.45 598.802,1338.45 603.842,1338.45 608.882,1338.45 613.922,1338.45 618.962,1338.45 624.002,1338.45 \n  629.042,1338.45 634.082,1338.45 639.122,1338.45 644.162,1338.45 649.203,1338.45 654.243,1338.45 659.283,1338.45 664.323,1338.45 669.363,1338.45 674.403,1338.45 \n  679.443,1338.45 684.483,1338.45 689.523,1338.45 694.563,1338.45 699.604,1338.45 704.644,1338.45 709.684,1338.45 714.724,1338.45 719.764,1338.45 724.804,1338.45 \n  729.844,1338.45 734.884,1338.45 739.924,1338.45 744.964,1338.45 750.005,1338.45 755.045,1338.45 760.085,1338.45 765.125,1338.45 770.165,1338.45 775.205,1338.45 \n  780.245,1338.45 785.285,1338.45 790.325,1338.45 795.365,1338.45 800.406,1338.45 805.446,1338.45 810.486,1338.45 815.526,1338.45 820.566,1338.45 825.606,1338.45 \n  830.646,1338.45 835.686,1338.45 840.726,1338.45 845.766,1338.45 850.807,1338.45 855.847,1338.45 860.887,1338.45 865.927,1338.45 870.967,1338.45 876.007,1338.45 \n  881.047,1338.45 886.087,1338.45 891.127,1338.45 896.167,1338.45 901.207,1338.45 906.248,1338.45 911.288,1338.45 916.328,1338.45 921.368,1338.45 926.408,1338.45 \n  931.448,1338.45 936.488,1338.45 941.528,1338.45 946.568,1338.45 951.608,1338.45 956.649,1338.45 961.689,1338.45 966.729,1338.45 971.769,1338.45 976.809,1338.45 \n  981.849,1338.45 986.889,1338.45 991.929,1338.45 996.969,1338.45 1002.01,1338.45 1007.05,1338.45 1012.09,1338.45 1017.13,1338.45 1022.17,1338.45 1027.21,1338.45 \n  1032.25,1338.45 1037.29,1338.45 1042.33,1338.45 1047.37,1338.45 1052.41,1338.45 1057.45,1338.45 1062.49,1338.45 1067.53,1338.45 1072.57,1338.45 1077.61,1338.45 \n  1082.65,1338.45 1087.69,1338.45 1092.73,1338.45 1097.77,1338.45 1102.81,1338.45 1107.85,1338.45 1112.89,1338.45 1117.93,1338.45 1122.97,1338.45 1128.01,1338.45 \n  1133.05,1338.45 1138.09,1338.45 1143.13,1338.45 1148.17,1338.45 1153.21,1338.45 1158.25,1338.45 1163.29,1338.45 1168.33,1338.45 1173.37,1338.45 1178.41,1338.45 \n  1183.45,1338.45 1188.49,1338.45 1193.53,1338.45 1198.57,1338.45 1203.61,1338.45 1208.65,1338.45 1213.69,1338.45 1218.73,1338.45 1223.77,1338.45 1228.81,1338.45 \n  1233.85,1338.45 1238.89,1338.45 1243.93,1338.45 1248.97,1338.45 1254.01,1338.45 1259.05,1338.45 1264.09,1338.45 1269.13,1338.45 1274.17,1338.45 1279.21,1338.45 \n  1284.25,1338.45 1289.3,1338.45 1294.34,1338.45 1299.38,1338.45 1304.42,1338.45 1309.46,1338.45 1314.5,1338.45 1319.54,1338.45 1324.58,1338.45 1329.62,1338.45 \n  1334.66,1338.45 1339.7,1338.45 1344.74,1338.45 1349.78,1338.45 1354.82,1338.45 1359.86,1338.45 1364.9,1338.45 1369.94,1338.45 1374.98,1338.45 1380.02,1338.45 \n  1385.06,1338.45 1390.1,1338.45 1395.14,1338.45 1400.18,1338.45 1405.22,1338.45 1410.26,1338.45 1415.3,1338.45 1420.34,1338.45 1425.38,1338.45 1430.42,1338.45 \n  1435.46,1338.45 1440.5,1338.45 1445.54,1338.45 1450.58,1338.45 1455.62,1338.45 1460.66,1338.45 1465.7,1338.45 1470.74,1338.45 1475.78,1338.45 1480.82,1338.45 \n  1485.86,1338.45 1490.9,1338.45 1495.94,1338.45 1500.98,1338.45 1506.02,1338.45 1511.06,1338.45 1516.1,1338.45 1521.14,1338.45 1526.18,1338.45 1531.22,1338.45 \n  1536.26,1338.45 1541.3,1338.45 1546.34,1338.45 1551.38,1338.45 1556.42,1338.45 1561.46,1338.45 1566.5,1338.45 1571.54,1338.45 1576.58,1338.45 1581.62,1338.45 \n  1586.66,1338.45 1591.7,1338.45 1596.74,1338.45 1601.78,1338.45 1606.82,1338.45 1611.86,1338.45 1616.9,1338.45 1621.94,1338.45 1626.98,1338.45 1632.02,1338.45 \n  1637.06,1338.45 1642.1,1338.45 1647.14,1338.45 1652.18,1338.45 1657.22,1338.45 1662.26,1338.45 1667.3,1338.45 1672.34,1338.45 1677.38,1338.45 1682.42,1338.45 \n  1687.46,1338.45 1692.5,1338.45 1697.54,1338.45 1702.58,1338.45 1707.62,1338.45 1712.66,1338.45 1717.7,1338.45 1722.74,1338.45 1727.78,1338.45 1732.82,1338.45 \n  1737.86,1338.45 1742.9,1338.45 1747.94,1338.45 1752.98,1338.45 1758.02,1338.45 1763.06,1338.45 1768.1,1338.45 1773.14,1338.45 1778.18,1338.45 1783.22,1338.45 \n  1788.26,1338.45 1793.3,1338.45 1798.35,1338.45 1803.39,1338.45 1808.43,1338.45 1813.47,1338.45 1818.51,1338.45 1823.55,1338.45 1828.59,1338.45 1833.63,1338.45 \n  1838.67,1338.45 1843.71,1338.45 1848.75,1338.45 1853.79,1338.45 1858.83,1338.45 1863.87,1338.45 1868.91,1338.45 1873.95,1338.45 1878.99,1338.45 1884.03,1338.45 \n  1889.07,1338.45 1894.11,1338.45 1899.15,1338.45 1904.19,1338.45 1909.23,1338.45 1914.27,1338.45 1919.31,1338.45 1924.35,1338.45 1929.39,1338.45 1934.43,1338.45 \n  1939.47,1338.45 1944.51,1338.45 1949.55,1338.45 1954.59,1338.45 1959.63,1338.45 1964.67,1338.45 1969.71,1338.45 1974.75,1338.45 1979.79,1338.45 1984.83,1338.45 \n  1989.87,1338.45 1994.91,1338.45 1999.95,1338.45 2004.99,1338.45 2010.03,1338.45 2015.07,1338.45 2020.11,1338.45 2025.15,1338.45 2030.19,1338.45 2035.23,1338.45 \n  2040.27,1338.45 2045.31,1338.45 2050.35,1338.45 2055.39,1338.45 2060.43,1338.45 2065.47,1338.45 2070.51,1338.45 2075.55,1338.45 2080.59,1338.45 2085.63,1338.45 \n  2090.67,1338.45 2095.71,1338.45 2100.75,1338.45 2105.79,1338.45 2110.83,1338.45 2115.87,1338.45 2120.91,1338.45 2125.95,1338.45 2130.99,1338.45 2136.03,1338.45 \n  2141.07,1338.45 2146.11,1338.45 2151.15,1338.45 2156.19,1338.45 2161.23,1338.45 2166.27,1338.45 2171.31,1338.45 2176.35,1338.45 2181.39,1338.45 2186.43,1338.45 \n  2191.47,1338.45 2196.51,1338.45 2201.55,1338.45 2206.59,1338.45 2211.63,1338.45 2216.67,1338.45 2221.71,1338.45 2226.75,1338.45 2231.79,1338.45 2236.83,1338.45 \n  2241.87,1338.45 2246.91,1338.45 2251.95,1338.45 2256.99,1338.45 2262.03,1338.45 2267.07,1338.45 2272.11,1338.45 2277.15,1338.45 2282.19,1338.45 2287.23,1338.45 \n  2292.27,1338.45 \n  \"/>\n<polyline clip-path=\"url(#clip6602)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1997.03,1338.45 571.477,1338.45 \n  \"/>\n<circle clip-path=\"url(#clip6602)\" cx=\"1997.03\" cy=\"1338.45\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip6602)\" cx=\"571.477\" cy=\"1338.45\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip6600)\" d=\"\nM1381.28 372.684 L2280.76 372.684 L2280.76 130.764 L1381.28 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1381.28,372.684 2280.76,372.684 2280.76,130.764 1381.28,130.764 1381.28,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1405.28,191.244 1549.28,191.244 \n  \"/>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 208.744)\" x=\"1573.28\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1405.28,251.724 1549.28,251.724 \n  \"/>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 269.224)\" x=\"1573.28\" y=\"269.224\">Polynomial interpolation 2, n=1</text>\n</g>\n<polyline clip-path=\"url(#clip6600)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1405.28,312.204 1549.28,312.204 \n  \"/>\n<circle clip-path=\"url(#clip6600)\" cx=\"1489.28\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip6600)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 329.704)\" x=\"1573.28\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip6900\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip6900)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip6901\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip6900)\" d=\"\n",
       "M215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip6902\">\n",
       "    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,1168.15 2352.76,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,897.675 2352.76,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,627.202 2352.76,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,356.728 2352.76,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 215.754,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1168.15 241.398,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,897.675 241.398,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,627.202 241.398,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,356.728 241.398,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,86.2547 241.398,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n",
       "  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n",
       "  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n",
       "  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n",
       "  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n",
       "  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n",
       "  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n",
       "  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n",
       "  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n",
       "  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n",
       "  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n",
       "  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n",
       "  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n",
       "  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n",
       "  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n",
       "  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n",
       "  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n",
       "  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n",
       "  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n",
       "  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n",
       "  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n",
       "  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n",
       "  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n",
       "  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n",
       "  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n",
       "  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n",
       "  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n",
       "  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n",
       "  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n",
       "  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n",
       "  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n",
       "  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n",
       "  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n",
       "  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n",
       "  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n",
       "  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n",
       "  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n",
       "  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n",
       "  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n",
       "  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n",
       "  2292.27,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1338.45 281.275,1338.45 286.315,1338.45 291.356,1338.45 296.396,1338.45 301.436,1338.45 306.476,1338.45 311.516,1338.45 316.556,1338.45 321.596,1338.45 \n",
       "  326.636,1338.45 331.676,1338.45 336.716,1338.45 341.757,1338.45 346.797,1338.45 351.837,1338.45 356.877,1338.45 361.917,1338.45 366.957,1338.45 371.997,1338.45 \n",
       "  377.037,1338.45 382.077,1338.45 387.117,1338.45 392.158,1338.45 397.198,1338.45 402.238,1338.45 407.278,1338.45 412.318,1338.45 417.358,1338.45 422.398,1338.45 \n",
       "  427.438,1338.45 432.478,1338.45 437.518,1338.45 442.559,1338.45 447.599,1338.45 452.639,1338.45 457.679,1338.45 462.719,1338.45 467.759,1338.45 472.799,1338.45 \n",
       "  477.839,1338.45 482.879,1338.45 487.919,1338.45 492.96,1338.45 498,1338.45 503.04,1338.45 508.08,1338.45 513.12,1338.45 518.16,1338.45 523.2,1338.45 \n",
       "  528.24,1338.45 533.28,1338.45 538.32,1338.45 543.36,1338.45 548.401,1338.45 553.441,1338.45 558.481,1338.45 563.521,1338.45 568.561,1338.45 573.601,1338.45 \n",
       "  578.641,1338.45 583.681,1338.45 588.721,1338.45 593.761,1338.45 598.802,1338.45 603.842,1338.45 608.882,1338.45 613.922,1338.45 618.962,1338.45 624.002,1338.45 \n",
       "  629.042,1338.45 634.082,1338.45 639.122,1338.45 644.162,1338.45 649.203,1338.45 654.243,1338.45 659.283,1338.45 664.323,1338.45 669.363,1338.45 674.403,1338.45 \n",
       "  679.443,1338.45 684.483,1338.45 689.523,1338.45 694.563,1338.45 699.604,1338.45 704.644,1338.45 709.684,1338.45 714.724,1338.45 719.764,1338.45 724.804,1338.45 \n",
       "  729.844,1338.45 734.884,1338.45 739.924,1338.45 744.964,1338.45 750.005,1338.45 755.045,1338.45 760.085,1338.45 765.125,1338.45 770.165,1338.45 775.205,1338.45 \n",
       "  780.245,1338.45 785.285,1338.45 790.325,1338.45 795.365,1338.45 800.406,1338.45 805.446,1338.45 810.486,1338.45 815.526,1338.45 820.566,1338.45 825.606,1338.45 \n",
       "  830.646,1338.45 835.686,1338.45 840.726,1338.45 845.766,1338.45 850.807,1338.45 855.847,1338.45 860.887,1338.45 865.927,1338.45 870.967,1338.45 876.007,1338.45 \n",
       "  881.047,1338.45 886.087,1338.45 891.127,1338.45 896.167,1338.45 901.207,1338.45 906.248,1338.45 911.288,1338.45 916.328,1338.45 921.368,1338.45 926.408,1338.45 \n",
       "  931.448,1338.45 936.488,1338.45 941.528,1338.45 946.568,1338.45 951.608,1338.45 956.649,1338.45 961.689,1338.45 966.729,1338.45 971.769,1338.45 976.809,1338.45 \n",
       "  981.849,1338.45 986.889,1338.45 991.929,1338.45 996.969,1338.45 1002.01,1338.45 1007.05,1338.45 1012.09,1338.45 1017.13,1338.45 1022.17,1338.45 1027.21,1338.45 \n",
       "  1032.25,1338.45 1037.29,1338.45 1042.33,1338.45 1047.37,1338.45 1052.41,1338.45 1057.45,1338.45 1062.49,1338.45 1067.53,1338.45 1072.57,1338.45 1077.61,1338.45 \n",
       "  1082.65,1338.45 1087.69,1338.45 1092.73,1338.45 1097.77,1338.45 1102.81,1338.45 1107.85,1338.45 1112.89,1338.45 1117.93,1338.45 1122.97,1338.45 1128.01,1338.45 \n",
       "  1133.05,1338.45 1138.09,1338.45 1143.13,1338.45 1148.17,1338.45 1153.21,1338.45 1158.25,1338.45 1163.29,1338.45 1168.33,1338.45 1173.37,1338.45 1178.41,1338.45 \n",
       "  1183.45,1338.45 1188.49,1338.45 1193.53,1338.45 1198.57,1338.45 1203.61,1338.45 1208.65,1338.45 1213.69,1338.45 1218.73,1338.45 1223.77,1338.45 1228.81,1338.45 \n",
       "  1233.85,1338.45 1238.89,1338.45 1243.93,1338.45 1248.97,1338.45 1254.01,1338.45 1259.05,1338.45 1264.09,1338.45 1269.13,1338.45 1274.17,1338.45 1279.21,1338.45 \n",
       "  1284.25,1338.45 1289.3,1338.45 1294.34,1338.45 1299.38,1338.45 1304.42,1338.45 1309.46,1338.45 1314.5,1338.45 1319.54,1338.45 1324.58,1338.45 1329.62,1338.45 \n",
       "  1334.66,1338.45 1339.7,1338.45 1344.74,1338.45 1349.78,1338.45 1354.82,1338.45 1359.86,1338.45 1364.9,1338.45 1369.94,1338.45 1374.98,1338.45 1380.02,1338.45 \n",
       "  1385.06,1338.45 1390.1,1338.45 1395.14,1338.45 1400.18,1338.45 1405.22,1338.45 1410.26,1338.45 1415.3,1338.45 1420.34,1338.45 1425.38,1338.45 1430.42,1338.45 \n",
       "  1435.46,1338.45 1440.5,1338.45 1445.54,1338.45 1450.58,1338.45 1455.62,1338.45 1460.66,1338.45 1465.7,1338.45 1470.74,1338.45 1475.78,1338.45 1480.82,1338.45 \n",
       "  1485.86,1338.45 1490.9,1338.45 1495.94,1338.45 1500.98,1338.45 1506.02,1338.45 1511.06,1338.45 1516.1,1338.45 1521.14,1338.45 1526.18,1338.45 1531.22,1338.45 \n",
       "  1536.26,1338.45 1541.3,1338.45 1546.34,1338.45 1551.38,1338.45 1556.42,1338.45 1561.46,1338.45 1566.5,1338.45 1571.54,1338.45 1576.58,1338.45 1581.62,1338.45 \n",
       "  1586.66,1338.45 1591.7,1338.45 1596.74,1338.45 1601.78,1338.45 1606.82,1338.45 1611.86,1338.45 1616.9,1338.45 1621.94,1338.45 1626.98,1338.45 1632.02,1338.45 \n",
       "  1637.06,1338.45 1642.1,1338.45 1647.14,1338.45 1652.18,1338.45 1657.22,1338.45 1662.26,1338.45 1667.3,1338.45 1672.34,1338.45 1677.38,1338.45 1682.42,1338.45 \n",
       "  1687.46,1338.45 1692.5,1338.45 1697.54,1338.45 1702.58,1338.45 1707.62,1338.45 1712.66,1338.45 1717.7,1338.45 1722.74,1338.45 1727.78,1338.45 1732.82,1338.45 \n",
       "  1737.86,1338.45 1742.9,1338.45 1747.94,1338.45 1752.98,1338.45 1758.02,1338.45 1763.06,1338.45 1768.1,1338.45 1773.14,1338.45 1778.18,1338.45 1783.22,1338.45 \n",
       "  1788.26,1338.45 1793.3,1338.45 1798.35,1338.45 1803.39,1338.45 1808.43,1338.45 1813.47,1338.45 1818.51,1338.45 1823.55,1338.45 1828.59,1338.45 1833.63,1338.45 \n",
       "  1838.67,1338.45 1843.71,1338.45 1848.75,1338.45 1853.79,1338.45 1858.83,1338.45 1863.87,1338.45 1868.91,1338.45 1873.95,1338.45 1878.99,1338.45 1884.03,1338.45 \n",
       "  1889.07,1338.45 1894.11,1338.45 1899.15,1338.45 1904.19,1338.45 1909.23,1338.45 1914.27,1338.45 1919.31,1338.45 1924.35,1338.45 1929.39,1338.45 1934.43,1338.45 \n",
       "  1939.47,1338.45 1944.51,1338.45 1949.55,1338.45 1954.59,1338.45 1959.63,1338.45 1964.67,1338.45 1969.71,1338.45 1974.75,1338.45 1979.79,1338.45 1984.83,1338.45 \n",
       "  1989.87,1338.45 1994.91,1338.45 1999.95,1338.45 2004.99,1338.45 2010.03,1338.45 2015.07,1338.45 2020.11,1338.45 2025.15,1338.45 2030.19,1338.45 2035.23,1338.45 \n",
       "  2040.27,1338.45 2045.31,1338.45 2050.35,1338.45 2055.39,1338.45 2060.43,1338.45 2065.47,1338.45 2070.51,1338.45 2075.55,1338.45 2080.59,1338.45 2085.63,1338.45 \n",
       "  2090.67,1338.45 2095.71,1338.45 2100.75,1338.45 2105.79,1338.45 2110.83,1338.45 2115.87,1338.45 2120.91,1338.45 2125.95,1338.45 2130.99,1338.45 2136.03,1338.45 \n",
       "  2141.07,1338.45 2146.11,1338.45 2151.15,1338.45 2156.19,1338.45 2161.23,1338.45 2166.27,1338.45 2171.31,1338.45 2176.35,1338.45 2181.39,1338.45 2186.43,1338.45 \n",
       "  2191.47,1338.45 2196.51,1338.45 2201.55,1338.45 2206.59,1338.45 2211.63,1338.45 2216.67,1338.45 2221.71,1338.45 2226.75,1338.45 2231.79,1338.45 2236.83,1338.45 \n",
       "  2241.87,1338.45 2246.91,1338.45 2251.95,1338.45 2256.99,1338.45 2262.03,1338.45 2267.07,1338.45 2272.11,1338.45 2277.15,1338.45 2282.19,1338.45 2287.23,1338.45 \n",
       "  2292.27,1338.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6902)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1997.03,1338.45 571.477,1338.45 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip6902)\" cx=\"1997.03\" cy=\"1338.45\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip6902)\" cx=\"571.477\" cy=\"1338.45\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip6900)\" d=\"\n",
       "M1381.28 372.684 L2280.76 372.684 L2280.76 130.764 L1381.28 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1381.28,372.684 2280.76,372.684 2280.76,130.764 1381.28,130.764 1381.28,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,191.244 1549.28,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 208.744)\" x=\"1573.28\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,251.724 1549.28,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 269.224)\" x=\"1573.28\" y=\"269.224\">Polynomial interpolation 2, n=1</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip6900)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,312.204 1549.28,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip6900)\" cx=\"1489.28\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip6900)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 329.704)\" x=\"1573.28\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xo, yo, xx, yy_ori, yy_int, A = polyint_2(1)\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 2, n=1\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 代数精度\n",
    "\n",
    "令$f\\left(x\\right)=x^0=1$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{\\mathrm{d}x}=2\n",
    "\\\\\n",
    "f\\left(x_0\\right)+f\\left(x_1\\right)&=1+1=2\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "令$f\\left(x\\right)=x^1=x$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{x\\mathrm{d}x}=0\n",
    "\\\\\n",
    "f\\left(x_0\\right)+f\\left(x_1\\right)&=-\\frac{\\sqrt{2}}{2}+\\frac{\\sqrt{2}}{2}=0\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "令$f\\left(x\\right)=x^2$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^1{f\\left(x\\right)\\mathrm{d}x}&=\\int_{-1}^1{x^2\\mathrm{d}x}=\\frac{2}{3}\n",
    "\\\\\n",
    "f\\left(x_0\\right)+f\\left(x_1\\right)&=\\frac{1}{2}+\\frac{1}{2}=1\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "所以对$f\\left(x\\right)=x^0=1$和$f\\left(x\\right)=x^1=x$是积分公式精确成立的，所以有$1$次代数精度。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 积分余项\n",
    "\n",
    "因为具有$1$次代数进度，其积分余项具有形式：\n",
    "\n",
    "$$R=I-I_1=Cf''(\\eta)$$\n",
    "\n",
    "设$f(x)=x^2$，则有\n",
    "\n",
    "$$\n",
    "R=I-I_1=\\int_{-1}^1{f(x)\\mathrm{d}x}-\\left[ f(x_0)+f(x_1) \\right]=\\frac{2}{3} - 1 = -\\frac{1}{3} = Cf''(\\eta) = C\\times 2!\n",
    "$$\n",
    "\n",
    "于是可以求出：\n",
    "\n",
    "$$C=-\\frac{1}{6}$$\n",
    "\n",
    "则积分余项为：\n",
    "\n",
    "$$R=I-I_1=\\int_{-1}^1{f(x)\\mathrm{d}x}-\\left[ f(x_0)+f(x_1) \\right]=-\\frac{1}{6}f''(\\eta)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 积分计算与误差估计\n",
    "\n",
    "用$n=1$时的积分公式计算函数$f(x)=\\frac{1}{1+25x^2}$的积分值，则有：\n",
    "\n",
    "$$I_1=\\int_{-1}^1{\\frac{1}{1+25x^2}\\mathrm{d}x} \\approx f(x_0)+f(x_1) = \\frac{4}{27}$$\n",
    "\n",
    "与精确积分值$I=\\int_{-1}^{1}{f(x)\\mathrm{d}x}=\\frac{2}{5}\\mathrm{a}\\tan 5=0.5493603067780064$比较，则得到积分的误差为：\n",
    "\n",
    "$$R=I-I_1=0.40121215862985826$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.40121215862985826"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.5493603067780064-4/27"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 插值积分公式取$n=2$时\n",
    "\n",
    "### 积分公式推导\n",
    "\n",
    "$n=2$时，插值点横坐标为$x_0=-\\frac{\\sqrt{3}}{2}$、$x_1=0$和$x_2=\\frac{\\sqrt{3}}{2}$，对应函数值为$\\frac{4}{79}$、$1$和$-\\frac{4}{79}$，插值多项式为\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "L_1(x)&=f(x_0)\\frac{(x-x_1)(x-x_2)}{(x_0-x_1)(x_0-x_2)}+f(x_1)\\frac{(x-x_0)(x-x_2)}{(x_1-x_0)(x_1-x_2)}+f(x_2)\\frac{(x-x_0)(x-x_1)}{(x_2-x_0)(x_2-x_1)}\n",
    "\\\\\n",
    "&=\\frac{2}{3}\\left( \n",
    "    f\\left(-\\frac{\\sqrt{3}}{2}\\right)x\\left(x-\\frac{\\sqrt{3}}{2}\\right) \n",
    "    -2f\\left(0\\right) \\left(x+\\frac{\\sqrt{3}}{2}\\right) \\left(x-\\frac{\\sqrt{3}}{2} \\right)\n",
    "    +f\\left(\\frac{\\sqrt{3}}{2}\\right)x\\left(x+\\frac{\\sqrt{3}}{2}\\right) \n",
    "\\right)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "\n",
    "所以在$[-1,1]$上的插值积分公式为\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^{1}{f(x)\\mathrm{d}x}\n",
    "&\\approx A_0f(x_0)+A_1f(x_1)+A_2f(x_2)\n",
    "\\\\\n",
    "&=\\int_{-1}^{1}{\\frac{(x-x_1)(x-x_2)}{(x_0-x_1)(x_0-x_2)}\\mathrm{d}x}f(x_0)\n",
    "+\\int_{-1}^{1}{\\frac{(x-x_0)(x-x_2)}{(x_1-x_0)(x_1-x_2)}\\mathrm{d}x}f(x_1)\n",
    "+\\int_{-1}^{1}{\\frac{(x-x_0)(x-x_1)}{(x_2-x_0)(x_2-x_1)}\\mathrm{d}x}f(x_2)\n",
    "\\\\\n",
    "&=\\frac{2}{3} \\left(\n",
    "    \\int_{-1}^{1}{\\left(x^2-\\frac{\\sqrt{3}}{2}x\\right) \\mathrm{d}x}f\\left(-\\frac{\\sqrt{3}}{2}\\right)\n",
    "    -2\\int_{-1}^{1}{\\left( x^2 - \\frac{3}{4} \\right) \\mathrm{d}x}f(0)\n",
    "    +\\int_{-1}^{1}{\\left(x^2+\\frac{\\sqrt{3}}{2}x\\right) \\mathrm{d}x}f\\left(\\frac{\\sqrt{3}}{2}\\right)\n",
    "\\right)\n",
    "\\\\\n",
    "&=\\frac{4}{9} f\\left(-\\frac{\\sqrt{3}}{2}\\right)\n",
    "+\\frac{10}{9} f\\left(0\\right)\n",
    "+\\frac{4}{9} f\\left(\\frac{\\sqrt{3}}{2}\\right)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "对于$f(x)$的插值多项式函数如图所示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAIAAAD9V4nPAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nOzdd1QUVxcA8DuznaUsvSP2iig2RDFqgn5WrCgqxhZrEhO7RogtYjfGRKOi0ahRjF0TJdhBDXY0dkWwoXS2smXmfX8sQQKItJ3Z8n4nJ0eHmXl3V2bvzpv33iUQQoBhGIZhlopkOwAMwzAMYxNOhBiGYZhFw4kQwzAMs2g4EWIYhmEWDSdCDMMwzKLhRIhhGIZZNJwIMQzDMIuGEyGGYRhm0XAixDAMwywaToQYhmGYRTPJRJiVlZWbm1vBnSmKwsvIMQwhRFEU21FYHJ1Ox3YIFoemaZqm2Y7Cshji48UkE+Hu3buPHz9ewZ2VSqVGozFoPFgJFEXJZDK2o7A4eXl5bIdgcfDHC/NompZKpTV7TpNMhBiGYRhWU3AixDAMwywaToQYhmGYRcOJEMMwDLNoOBFiGIZhFo3NREhR1OjRo4tvkclk8+fP79+/f2RkJB52iGEV9PDhw35D+7fvGhTSp9vFSxfZDgfDTAxrifDgwYNTp059+fJl8Y2xsbGurq6xsbEuLi779u1jKzYMMyGPHj0K6d89rXGW+8yGecHa8Mkj4uPj2Q4Kw0wJl62G69Sp4+HhERkZWXxjYmLiokWL+Hx+aGhoVFTU2LFj2QoPw4wOTVOyXCo/i5bl0QoppZShAiXSqmet3eg42Mu2nj0AWHnaeE1o8PXUcRej5xM8PiEUk2IbUmzHEdty7JxIOweCw9olj2FGi7WrokWLFqU3Zmdnu7q6AoCrq2tOTs77jtVqtfPnz1+9enXxjUuXLm3btm3pneVyOZ/P5/P51Q4ZqyidTqdQKPBCJ9WB8rNQ5is68yXKTkd5GSgvA0lzgS5jQY37T1NcRgYV/ZVnK5DK8mVnD5RxUoIgrCVg50w6upEObuDoTrp4ExIXIPFYgSpSKBRcLlcgELAdiAXRr9dR8cVlJBIJl/uBTGdcXw8RQgRB6P9QzsJFPB5vyZIlERERFTmnQCDg8/n4N5VJOp1OKBRKJBK2AzElVH62JvW+Ju2B5vkj7asUWiUvf3+CLyzgit7oBA4Ojqp0udjHtvA8BTqSK3jG93DmqG1oJVKr3h2DEJLlgiyXevmIKnYenocv36ch36ch37cR18nDEK/OXAmFQi6XKxQK2Q7EglAUxefz7e3ta/CcxpUIHR0dMzIyvLy8srKynJyc2A4HwwyLys9WP7pZ8OiW5ukdXc7b0jsQPD7X2ZPr7Ml1dOM4uHLtnUlbB46NAym2XfuAOz2JAgA7cRK5c1CDSc0FDkKdUvtk6z9knyWdGowCgHENyU1BCCmktCyPys+m8jJ1uRlUdrou87U246U+RyJNgSb1gSb1gb5Fjo09v56fsJ6/oEELrrMnc+8FhrHHWBJhcnKyv79/YGBgXFzcmDFj4uLigoKCPnwYhpkcmlan3C24l1Rw/5o2PbXEDzk29jyfBnyvejzPOjyP2lxHdyCI0ueITaFnJFEA0EhCjPR7lO0x9sz2uPScLLGV9ZhPR2mbvbmuos+lkzEPaS8x59sAB46tA8+zTomTULkZ2vQ07esUzYsnmhcPqZwMAKBkuaqbF1Q3LwAA19FN2Ki1sGk7QX1/gocfLmBmy1gS4YwZM+Lj4yMiIqKjo8PDw+vXrz9nzhy2g8KwGoMonfrhDVVyouqfv2nFf5YM5jp7Cur7C+o049duzHV0/+CpHuShsRcoBOBrQ8xtHJ+al7PysyXEZ98V9aPs/Gefo2xLATXx7wy06CYV6EJ09yojm3LsXTj2LsImbfR/paQ5mtT76qf/qJ/c1r5OAYR02W/kF4/LLx4n+EJh4zaiFh1FTdsRfNwNiJkbwhRLFK1bt87BwaGCzwhlMhl+RsgwnU4nl8vxM0IAAITUT/9RXj+jSk6kle+mxpJCsaBRgLBxa2HDAI7EueLn09LQ9ojuVjay4kJM4I2rr44v7xzF4/AAoPgDhXXXNgm4jkvu93ulQK4iuDOQ51yZ/EUrpAWPbqrvXyu4f42SvSt5RvAFoqaBVq27CBq1xgNQAUAul+NnhAyjKEoqlZrzM0IMMxtUXqbi7zjl1VO67DdFGzm2DqLmQaLmHfh1/aqWSFbepm9lIwCY7/f0fOrvq7ou1GfBEr5o9VlUwvIZDc/PuNnprQqm/0392plT8VZIsa1Vy4+sWn4ECGnSHqruXFLdvqjLfIU0auXN88qb50lrO6vWH4sD/8dz86nCq8Awo4LvCLGaZ9F3hAgV3L8mv3i84P5V+HfkMym2tWrZSRTQWVC7aZnP/CooRYaaHdCpdBDi9tabXBXdeb6L1bsxZSWGmKkpzcwz38o5g35JaU4AnOrJ7epR9aYBQPvqqfLGeeWNc1RuRtFGQZ2m4g69RP7BBLeMfGz28B0h8/AdIYYZL7pAqUyKkycc1WWlF24iOaImbazadRc2aVMjHYlzrtAqHdjw8t1g9bygr4pnwdIEHP7iTnOnnV5QR2ybovCdnkRd78clq5EKeZ517Tzr2vUerX5yW3HlL1VyItKo1Sl31Sl3OYe3iIN6ijv05tjW5McThjEDJ0IMqy4qP1t+/pDi0p90gVK/hePgIm7fQ9yuO8fWoaZauZyB9j+jOaDqZL1sautRdSW+HzzETmC7uNOsKfHLXitn3cp2/vUxPapBtefOE4Sgvr+gvj89cLLy2lnFxePa9FRKliuN2y07vc+qVVfrrgN5rri/FDMlOBFiWNXpstNlp/Ypr55COq1+i6B+C+tOfUVNA2t8uZb51ygAyl+05jP/3q3c/Ct4lIe123fBUzLjVyUpIxfetBlej+TVUFykUGzdsbd1x97qJ3fkCUdUdy4hnVaRFKe48pfIL8gmZCjfu37NtIRhBoYTIYZVhS7rtfSvPcprZ/TLnhEcrqhlJ5suA3medQ3R3KW36MxrugH/50AP/9B6nSt1bBOn+mFNwmW3V/0j+2bHY3JcwzIyoVQqDQ8Pr06ESKejZXmUQgqIhtNP4fudpEjMsXUw7+kW+gWwSLxGHSN69eo1efJkQ5wZJ0IMqxwqL1N6crfiSnxhCuTxxYH/s+kyiOPgYrhGF9yganF/F3F4K4P7V+HwL/3b7H2S1RCtX3pr2qj6JLfU57ZGo1GpVHv27KmBWDHMAG7evHn06FEDnRwnQgyrKFopl53aK084irQa0KfAoF42Hw+uwQeBZbqZje68PeVIPh3efJ5VVS/ZeW3+9+XZt0TBzv3PRg2tW8YdDJ/P1y95j2FGyMHBgFcZToQY9mGI0ikSjkr/2qOfFE9wuOKgnjYhQw2dAvWWXL3mxjnzjI4a37DqF2wvH2KO9XCdYv26G8eG1g2twfAwzNThRIhhH1BwNynv8GZd5isAAIKwCuhi23Mk19GNmdYTXj1Oy9p1VxP5lZ/IrhrrfRIA0/w44y5MbkpE/3zbaWLzDjUXI4aZNpwIMey9dFmv8w5uLLh3Vf9XQb3mkn7jeV71GAsgXf42+vK6e+rZiLD7oml1R2QMr0vOvcq5r5q2/+HiDu4Ofs6NayRIDDN1eLAThpUBaTXSk7veLp+oz4JcR3fHMZHOn69gMgtK1bLIhGX31JNVyK1fLdJbXK11YQBAwIHPGpIUWF2Wz1qVtOm59FWNxIlhpg4nQgwrSf3k9tsVk6QndyGthuDxbXuMdJ2zScRsX6KG0kReiK7nPDRNVR8AJjepmUt1QmOSS4KSsnd1/HrxxVU5qtwPH4Nh5g4nQgx7h1bJc/d+n/nTbP0TQWHTdq5zNtt2H8ZwNT4aoSWX1nT1DY7PaAUAjSVEF/fq3g7qeYuJXt4kAMSmeU4KGBuZEK3SFdTImTHMdOFEiGGFCu4mvV02QfH3SUCIY+foOHq+02cLGRsUU9xPN2LqSGr5uf3vXDoCgDKnwFeZ/mzP5eitpunAhn0WJq6gEFWD58cwk4MTIYYBXaDI+W111pZvqfxsIAhx+x6uczeL/DuyEsyeewdV2oJRfuFbH9I0AgEHRtavyeu0hzehf9wY85DuWivY36XZ6qQNNXh+DDM5OBFilk79OPnt8knKK/EAwHVwdZ4UbT9kKikUsxLM2bTEW2//md5uMo1g52MEAH19SKcaXaSMQ8CoBgQAHH9OZxVAeJMBQq5w7/1DNdlGDVEqlZs2bRo/fnyfPn3Gjx+/efNmpVJZfIeQkJD3HVvOjz645y+//DJ48ODKRlvlADDW4USIWS5E6fKPxmRumEPlZgBBiIN6us7+WdCgBVvxJGfc3f/w6ILgWRyCc+o1eqFAAFAD9SJKGd2AJAA0NOx5SgPA563GpeY/11CaGm+oOpRK5eTJkxUKxTfffLN///558+bJZLLJkyerVKqifYYMGfK+w8v50QcdO3YsJiamyofPmjWrmgFgDMOJELNQurcvMtZOlZ3ZDwhxbB2cxi+yD/uSEIjYiic1/8WP12MWB88VcYUA8OtjGgDcraCbZ80Mkymutg3R0Y0AgB2PaQAgCWJam0lqI0uEO3fu9PPzmzZtWq1atQQCga+v7/Tp05s2bbpr166ifcaNG/e+w8v50QfJZDI7O7sqH37z5s1qBoAxDE+oxyyR8kp87v6fkKYAAETNg+yHfEWKbVmMJ0uVs+Ti6qiOMxxE9gAg18LhVBoAhtctY4HsGjGyPpnwhrqehR7koUYSgs/hW/NK9gaffo1SZcggzZfyiSdRy/o/Kf/q1avffPNNid0GDBiwfPnyffv2zZkzZ8OGDVKpND4+XqFQbNy4MSkpSSwWDxs2bOXKlfHx8SEhIfr/z5s3b8+ePVlZWcOHDx84cOClS5d27Njx9u1bPp8/aNCgsLCwEk1ERUUBwIQJE1JSUuLj4/Ub33e2/Pz877///vbt2zY2NmPHjg0ODi5xuFQq3bhx4/Xr1wmCCAgImDRpkq2tbenzGOptxSoGJ0LMsiBNQe7v65VXTwMAweNL+k0Qd+jFbkhKrSrqwrKpbcb72HrptxxOoxU6AIARNTpMpriwOuSXlymVDn57Si9qxQEAgih56/nTPfpQKm2gAEo48AmnRCJ88+aNm1vJIbseHh7p6ekAcPfu3VWrVo0fPx4ANm/eDAA7d+4kSfKnn34qcUhGRsamTZtu3bo1f/78gQMHbt++/ZNPPhk4cOCzZ8+++OKL0olw0aJFISEhmzZtKvMhX4mzbdy40d3dff78+ffu3fv222/btWtX4vCNGzdyudydO3cCwE8//bRp06aZM2eWPk813jmsBuCuUcyC6N6+yFjzpT4L8txquUxfz3oW1NHUt4nLwxqH+jk3Kdq4+wkNAE0khL9DzfeL6tnyoIcXCQC/PUUM3fRVkpub25s3b0psfPPmjZeXFwCMHDmydu3a+o2XLl0aO3asUCjk8/mjRo0qcUifPn0IgmjZsqVGowGAn3/+2c/PLz4+/sCBAzqdrrJRlTjblStXhg4dyuFw/Pz8tm/fzuFwSuyflJQ0ZswYgUAgEAhGjx595cqVMs+DsQvfEWKWQnXzQs7etUitAgBx2xDJoM8JvoDdkBCgVUk/tnUP6OzzbtmaDBWceo0AIMJgt4N6I+oRB1PhqRT9nYHKbGr/xxwEJT/ZDYRTKuO3adPm4MGD06dPL77xwIED/v7+T548kUgkRRspiiq6nS1dI9fKyqr4XxcvXszj8bp06TJ27NhTp05VJLbiQ1VLnI2m6aKmc3NzeTyeSFTyMXPxW22Koso8D8YufEeIWQCayj+yJXvHUqRWETy+ffg0+2HTWc+CABCTvMtOYDu4Ud/iG/c/o3U0EABD6xjqdlCvpzepL2cRm1J2/ydJAIep/0qLiIi4c+fO2rVr09LSNBpNWlramjVrkpOThw4dWmLPwMDAbdu2qdVqjUazY8eO8l/1jRs3hg0bFhgYeO3aNSiWmUrj8Xi3bt1CCB07dux9+wQEBOzbt4+iqPv373/++edFt5hFf2jbtu0vv/yi0WjUavUvv/zSrl278sPDWIETIWbmaIU08+f5srMHAIDr5O7y1Vpxu25sBwUAcPxJ3CtZ+oSWo0ps16eldi6Er41hE6GAA6G1SACIfUpTxtc9amVltWHDBisrq8WLF/fv3z8yMlIkEq1fv774vaDepEmTNBpNeHj4pEmTmjRpIhaXNwd0zJgx06dP/+yzz6RSaevWrVesWPG+PUeNGrVw4cLx48fb29u/b5/PP//82bNngwcPXrp06YwZM2xsbACgbdu2I0eO1O8wefJktVo9fPjwiIgIrVY7adKkSrwFGFMIZKQPCMqzbt06BweHiIiIiuwsk8n4fL5AwP7Xf8uh0+nkcnnpDyzmadNTs2MW6rLTAUDYuI1DxGzSyprtoAAALr+6tu/B4eWdo/ic/6xi+lqJvPfoaARrAjlfN6vc99SsrCwnJ6dKHfLnC9QrTgcAh9vnbZwecfLkyUodbiQuXbpUt25dV1dXAHjx4kVkZOT27dvZDgqrYVeuXNm+ffuGDRsoipJKpeV8O6kCfEeIma2Cu39nfP+1LjsdCMLmkyFO4xcZSRZ8mP1k+509i4LnlMiCAHDgGaIRkAQMrm3Y20G9EE/CUQAAcPQ5Q6NDDeGff/5Zv359bm5uVlbWli1bgoOD2Y4IMzE4EWLmSXZmf1bMQqRWEXyBw8g5dr1HQ6npAax4LX+zIunHRcGzbfhlZOXfn9EAEORKeFW7+mBF8Ejo50sCwLE0E06EERER1tbWo0ePnjx5sr29/bBhw9iOCDMxeNQoZm4Qpcvb/5Pi8gkA4Ng5Oo5bwPeuz3ZQhaRq2YLEFXPaf+kqdin90zcquPQWAcAgX+a+oQ6qTW59SGcWgMZkU6FIJJozZw7bUWAmDCdCzKzQBcqc7d8VPLgOAHzv+o7jFnDsHNkOqpCa0kReiB7nP6K+fZ0ydzjwjKYQEAADGOkX1fvYg7AXQK4c1LgWE2apcNcoZj6o/OzMH6brs6DIL8j5i5XGkwVpRC+5uPp/dT9u6x7wvn0OphaOF/VmpF9Uj0cWjh3FiRCzWDgRYmZC+yYtY+1X2tfPAMD6o36OYyIJfo2WL6qe9ddjGjjU7VHn4/ftkK2GC28QAAyqzfRVOcCXAADKyAaQh4SEdO/evXv37j169JgyZcqTJ0/et5vhAqjIdmbKLX2wFVz1qTpwIsTMgTrlbuYP06m8TCAISf8Jkv4TjWRojN6uu/s1lCaiWcllLYs7nErraACA/r5MR97Nk7QxyockcXFxcXFx+/btCwoKWrt2LcOtV7COUjm76esxGVo1qz4lJCSMGzeuX79+X3/99cuXL6scRk2dhxU4EWImT/XP31kb59JKOcHlOY6ca/1Rf7Yj+o/TaQl3M+9Pa/uBmdT65a1bOBJ1DDyPvjQBBz72NN6PAhsbm/79+6empjLcbgXrKJWzm74ek6FVp+pTenr6ypUrZ8yYERsb2759+5UrV1Ythpo6D1uM8nsghlWY8kp8zt7vgaZIoZXj2G8F9f3Zjug/br29c+jh8ZVdF3KI8hbtlGkL1xftz+B40eJ6+RAlqzYAaF8/o2S5zATA96xDWpe9AkN+fv6RI0d8fHzKLGmk32ft2rU+Pj76Mg5r16718PCIiYkpUerofRWRhg4dGhcX16dPH4TQmTNncnNzhwwZMmzYMH3ppQ+WbXpfhaaiekzR0dE//vjj7du3RSJRs2bNxo0b5+joGBISUlRJaty4cb///ru3t/fs2bPd3NzKeZmlg6lm1af09PSuXbs2atQIALp167Z3797S739FikZV5DzGDCdCzITJLxzJO/QzIMSxsXeauITnWZftiP7jWf7zn25sW9HlW32t3XL8+YLWj1XpX4udHt0QD3JDqY3SkztVty8xE4DjmEhR8w4lNhY99/L19Z09e/b7ShoBQHBw8O7duwcOHKjVahMTEzdu3BgTE1O6ZFKZh9euXXv58uXjx4+fOHHili1bbt++HRkZWTQZ8YNlm4qUaK6oHtP8+fM/+eST2bNna7XagwcPrl27dsmSJVCskpRKpYqNjd2+ffvGjRsXLlxYzsssHUw1qz4FBAQEBAQAAEVRO3bs6Ny5c0VeWukdKngeo4UTIWaqpHG/SU/8CgBcB1enydFcJw+2I/qPLFXOdxfXRHWcaS/88FJzh9MQANS1JfwMVnepfGIe8Mtc+ppVRXVx9ZKSkrZu3apfLnH06NH6YoR6LVq0iI6Ozs3NffToka+vr4uLC5QqdfS+w4ODg7lcLgD069ePw+EEBARotdqiM//8888PHz6Mj49PTk4uv2zT+yorJScnJyUlFf3Vzs5O/4eRI0fqlyHs3r07h8MZNGjQ6NGjy3+ZHwzmfceWX/Xp2rVrMTExrVu31gfwwZdWemCO/l/qg+cxWjgRYiYp/9hW2enfAYDr6uM8Odp4pknoKbTKyAvRX7WZ6GPr+cGdNTSceEEDQD+Wbgf1BKU6Ze3DvrQLHV/WvjWPY1OhpSPLLGkEAFwut3379pcuXbp9+/Ynn3yi31i61FGZh/N4vMIYOGUUKK542ab3VVaytrbevHmzu7s7AKhUKplMpt9eYjFegiBomi7/ZVYkmEpVfUIIbdmy5f79+/Pnz9cXeqzISyvxBaXi5zFaOBFipgahvEM/yy8cAQCeV13niUtJazu2Y/oPHU0tSFgR3mRAM+dGFdn/XDrK1wBA4Xw+tghKPcQkrSWkUSzOWkhf0mjKlCkIodIljYKDg/ft26fvM6zC4e9z48aNdevW1apVKy4uDsot21QmnU7XsWPHPXv2TJ48WaVSRUdHe3p6Tp06tfg+J0+eHDly5IEDB/z8/MqPs3Qw+uRdoupTxV/j7du3L1++vH79eg6Ho1KpAEAkEiUnJ/v7l/esvfQd4apVq0qfp2LvkFHAiRAzKQjl/r5ecelPAOD7NnKasIQUGdNHNQACtPzvHwI9W3fybl/BQw6n0gDgKIAgVzbvCEmj6xktafLkyRs2bBg+fDhBEK1atSpR0qhly5bR0dEtW7a0ti77V6L8w99HX7bJ3t6+W7du5ZdtKk1fjykmJmbDhg0RERE0TQcFBRXv6tSjKGrw4MHe3t76heLKibN0MHPnzi1R9alSrzE5Ofnly5f9+78baB0fHz9jxozS93zFlf7pr7/+Wvo85TdtVHAZJqzmGaoME0K5sesUf58EAEGdZk4TFhMCo/vW+fPN7SRBjm8xsoL7IwCfPbqXCjS6AbmtU7XKwVehDFPxY0eMGGGiZZiKTJ06NSwsrEOHkoNujJl+0CnbUfxH3759jx49ynYUJeEyTBj23yxYr7nTxCVGmAWPPj6Zocgc51+hr2h6N7LQSwUCgD4+Rn9HZsR0Ot2TJ09ev37dpk0btmMxea1bt2Y7BKax1jUqk8mWL19+9+7dZs2azZo1S1/ZGQCSk5M3bNjw+vVrDw+PKVOmNG/enK0IMSOCUO6+HwqzYP0WTp8tJPhGd4t/6dXVc88vLu8cRVZmUZtjz2kAEHGhmxf+Vlp1ly9fXrdu3ZdffsnnlyzxaOTmzZvHdggl6ecmWhTWrr3Y2FhXV9fY2FgXF5d9+/YVbV+2bNmwYcMOHToUHh6+bNkytsLDjAhCuft/1JdVMtos+CD78a93YhcGz+ZxeJU68EgaAoBPPEgxfl5fDcHBwfv37+/UqRPbgVRaly5d2A4BYy8RJiYmhoaG8vn80NDQhISEou1WVlYKhUKlUqlUKtMad4QZSN7hTYqLfwCAoJ6fcWbB1/I3q5J+WvieWrvleC5Hydm4XxTDWMbat9Ds7GxXV1cAcHV1zcnJKdo+a9aszz//XL/A7o8//ljmsTRNHzp0KCUlpfjGAQMG1K5du/TOCoVCo9EUnyGLGZpOp1MoFPpJytWk+mu3+sJhAOD4NBINm63QaEFjXP+UUo0s6vLyL1t8JkYiuVxeqWP3P+Yg4JIEdHFUyeXVHbamUCiEwioW3FAoFDU4bi4nJ+fq1atSqbRWrVoBAQE18puAYfpReBRFKRSKotmfH2RlZUWSH7jlY+0XFCGkn/iJECqaRgoAMTExYWFhAwYMOHDgwNatW8scrEwQhLu7e8OGDYtvtLW1LfN643A4XC4XX4oMq5H3XHV2v/rCIQDgetW3HRNFCsueFMyiAp166dXvxzQb1sCxKqu7xaWTABDggLxsqjVeVK8673lNXSBSqXT8FxMuXb9s3UiChICyKOUz6TezvpkwlqGJ+ZgZI0mSy+USBFHjH+mspQdHR8eMjAwvL68SY74fPHgwd+5cBweHoUOHDh8+vMxjCYIIDAwcOnRoRRrSarV4+gTDdDqdTqer8t2JnvzCEUXcLgDgedZxnhxNWhnXfEHQ19q9sqZP/e5BtdpW4XC5Fs6/1QJAv9pcobAGHlIIBIIqv+cCgYCoduEqpVLZ8eNgCBLVnvtujButoVbsXPPq9atFkQsrdbaQkBD9F3mSJOvUqfP111/Xq1evzN2MbfoBZiAkSQqFQoqiNBpNNT9eSp65Bs9VKYGBgXFxcQihuLi4oKAgAEhOTgaA2rVrnzhxQqVSxcfH161rXGsoY4xRXj2Vd+hnAOC6eDlPWmqEWRAAfri2pYlTw+51ulbt8LiXhQttm80DwsXRi6nmXPu2LsU3knyO5+j6Ow7ufPToUWVPWJF6hKyXA8TMAGuJMCIiIiUlJTw8PDU1VX/nN2PGDP3/r1y5EhYWduHChWnTprEVHsYi1T9/5+xZCwhxHFycJ0e/rzoPu3bcidXRumFNyliJv4L+eIEAwMeaaM7SQts1LvbgPsdO7qW3EyRh85HT1l+3Ve205dcjZL0cIGYGWOsatba2/u6774pv0fdv+Pj4rFu3jqWgMPapn97J2bEUaIpjY+88KZojcWY7ojKcSj3/IPvxko/mVvkMNII/XtAA0NuIbwfvZN7LUGRVcGeNWlNAaghu2d+txb62Z/48ezr1wvsOb+7SxNmq7GVxyq9H+MFygP3799+2bZtOp4uIiCi+BhiGFcFDSDAjotUgNe4AACAASURBVH39LDtmIdJqSKHYaeISrvOHSzcw7+bbO4cf/bnqQ7V2y5eUiTJUAAB9fYx3Hr1ULc9S5Xx4PwAAUBeoEbx/3ClBqHWacs6mocoYDFzxeoTw/nKA/fr1W7t2LY/H++GHH3AixMqEEyFmLHQ5b7N+/oZWyQke33HcAmOrsquXkpe24ca2FV0WCD9Ua7d8x5/TACDmwkfuxntH2MGrcoOAIrVzEIWIsuoaKl/Iurb6aEjjfpU6YcXrEcL7S+41b95869atISEh0dHRlWodsxzG+20Usyi0Qpr18zeUNAdI0iFijqCeH9sRlSFTmbX00tpvO860F1a38NMfzxEAhHiSwhqYN2Es+vTsnZP0towfIJBfyBozogaKtb6vUB+8v+TewoULQ0NDExMT586telc2Zt5wIsTYh7SarJgFuoyXAGA/6HNR8yC2IyqDQquMSlj2dduJXjYe1TzVczlKzkEA0IfVSrw17rtvl2gS8vPvZRffiCiUvi+lR1D38kvcVYS+2J5Go1Gr1RUsKKjT6UaMGOHu7j5ixIjHjx9XMwDMXOGuUYxtCOXsXK55dg8AbLsPEwf1ZDugMmhpXVTCsmFNBjV1qlCt3fIde44AgCSgp7dZfRO1s7O78Nf54WNGpJ55yG0gIkQEkUPL7+SNHT46al4NrONc2WJ7+kJ9Q4cO/fLLLzkcTulCgBimhxMhxrK8w5tUty8CgLhtiO3/KlHAiDEI0Iq/f+jo1S7YO7BGTqh/QNjGmXAzu8V03dzcTv956smTJxcvXszLz/Ot5dulSxdbW9sqnKr0NHlbW1t96drSuxXfuejPRePS+/btW4UAMMuBEyHGJvmFI/LzhwFA2KiVZMhUqPbiJoaw4cYvbmLX/g161cjZFDo4l44AoLd53Q4WV69evTJXgcEw42S2lyJm/Aru/p13eBMA8DxqO4z6huAY49eyI49PZKtyxvgPq6kTnnpFF1AAxj2DEMMsCk6EGDu0L59m/7ocaJpj5+g0fpERLqgNABdfXjn//NLcwKkE1FjS0j8g9BYT/o44EWKYUcCJEGMBlZ+dFfMtUqsIvtDps4XGuXzMvaxHO//Ztyh4TmVr7ZYDAZx4gQCgt49R9gJjmEXCiRBjGtKos2MWUHlZQBAOEbN4Xsb4MOmVLH31lQ2LOs2x5otr8LTXMtFrJQKAXka8oAyGWRp8NWLMQijnt1WaF48BwK7PWJGfMU4ZzFPnL0hcMS/oK5f3rH5ZZfr1Ra240NWIF5TBMEuDEyHGKGncbtWtBAAQt+tm03UQ2+GUQalVzT23ZGLLUXUlvjV+cv0Dwo89SJExDgzCMAuFEyHGHFVygjRuNwAI6jSVhH3Jdjhl0NHUgsQV/Rv0auVW3WVQSnutRDezCh8Q1vjJMQyrMvy9FGOI9lVKzu7V+iqDjmMijXCyBAK0+spPrdz8u9XubIjzH3uOEAAB0NPbGBNhXl7epUuX2I4Cw8p2//59w53c6D6MMLNEK6TZWxciTQHBFzqN/dY4a+1uv72XR/IqWyGh4vQLbbd0IrzERpcI7e3thwwZsnfv3jJ/evEtSpMjGx7Rx2D3sq9k6TkFec2cGxvdWwOAtJqCB9eQRk1wOIKGrUjRu/FTOp2OIAgOx4yWTjdiXbp0MdCZcSLEDI+msrd/p8t5CwThMHy6cdZX+uNp/OPcp0s6zTPQ+ZU6OPWaBoDeRnk7yOFwvv766/f9dM9TethZKhtgymBuQztDxb/51q80oie2HGWg81eH5vmjzPUzkFbDdQaXaUtJkbV+u1wu53K5QmG1anJhrMPPCDGDyzu6Vf04GQBsPxkq8g9mO5wyJL2+fuLpqagOM0nCUFfEqVe0SgcA0LeW6V10Pb1JHgnw72AfA/msRURuQd7+B8cM10SV8X0a2IdNBQBd5qucnSsAGfB9wJhnetckZlqU18/Kzx0EAGGTtrY9R7IdThke5jzZfGvnko/mCbkCw7WiTyHuVhDgZIx3hOWz40MHVwIAjqXRhmuFAGJmuy+S0q+ff26Mjyqt2nxs/VF/ACi4d0V6cifb4WA1CSdCzIC0r1JyY78HAK6zp0PELCNcUztd/nbZ5XWLgmdLBNWttVsOBPBn4YIypNG9BRXTx4cEgEsZKEdtwFa4JGdBx1l77x+6k2nAkRFVJgkdJ6jvDwDSv/ao/vmb7XCwGoMTIWYotFKe/ctipFETApHj2KiixyrGQ6qWRSUsm9nuC08bd4M2VLSgjOEGmxiafsqHjoY/XxjwphAAxDyrxZ3mrru66bn0lUEbqgqS4/jpXI7EGRDK3bVSl2l8EWJVghMhZhgI5exeqctKB4JwGPo1z60W2wGVpKE0kReiR/mFN3FqYOi2jj2nAUDEhY89TPWKa2BHNJIQYODHhHpOIof5HaYvvrgqR5Vr6LYqi7SWOI6ZT3B5dIEie9tipDHkDTLGFFO9LDEjp0k4XHA3CQBsPuovatmJ7XBKohFacmlNV9/gDl5tGWjuaBoCgG6epJUpD9PW386efEFrDHtPCADga+c9pdXYyIRola7A4I1VEt+noWTAJADQpqeqjm5iOxysBuBEiNU8zeNkzbnfAUBQp5ld37Fsh1OGn27E1JHUCq3fg4G2nsvR7RxzWFBG/5hQqoXz6UyMmWzh0mxgwz4LE1dQiGKguUoRB/UUt+sGAJpbF1R/n2A7HKy6cCLEahiVn523eyXQNMfW3mHUPCCNbq7xnnsHVdqCUX7hzDSnX1CGJKCXiZekD3IlnIQAAEcNOXa0uK61gv1dmq1O2sBMc5UiGfQ5z7MOACiPb9MvIo+ZLtO+MjFjgyhdzo6ltDwPSI7DyLkcWwe2IyrpbFrirbf/TG83mbEWj6TRANDWmXA3xtrDlcD5N5cffc7cNLrwJgOEXOGOO2UvecMigsd3HD2fEFghnTZn+3e0Us52RFjV4USI1STpH9vVKXcBQNA1TFCvOdvhlJSccXf/w6MLgmdxCIbuU4s6EvuYRQFC/WPC53KUnM3cjPLPW417mpd64ukpxlqsIK6Th9XAz4EgdNlvcveswbPsTZc5XJyYkSi4d0V29gAACBq35nXoy3Y4JaXmv/jxeszi4LkiLnMLYsW9LBxaYroTJ4rr7kUKOAAARw0/drQISRDfBE07mXLmSvoNxhqtIF6TtsKg3gCgunNJfv4Q2+FgVYQTIVYzqLysnN2rACGOxNlu6DRjmzufpcpZcnF1ZIfpDiJ7Jts9koYAoI4N4edgXG9I1VjzoKsHAQw+JtQTcPiLO82NSd71ODeFyXYrQtzzU36tRgCQf2yb5vlDtsPBqgInQqwm0FTOr9G0Qgokx/HTOaTYlu2A/kOpVUVdWDa1zXgfWy8m29X+O/28n685ZEG9vj4kANzIQi8UjPYE2gpsFnacvezyD28UGUy2+0EEh+vw6VzSyhpRupwd0bQKPyw0PTgRYjVAemKX/tGgXc+R/NpN2Q7nP3Q09W3i8rDGoX7OTRhu+sIblKsGAAg1wYW236dvLYIAQADH0ph+JOZu7Tor8PNvE5ZLNTKGmy4f18HVPnxa4cPCvevYDgerNPO5PjG2qB/fkp7aCwDCRq1sPg5jO5z/QIBWJf3Y1j2gs08H5lvX9x86CiDIxXzuCD2siDbOBPw7GpZhDR3qjW4eHnVhmYbSMN96OUR+QdbBfQFAlZyguPgH2+FglYMTIVYttDw/Z9dKQIhj6+AwYqaxPRqMSd5lJ7Ad3IiFkTsI4HAaAoBePiTXvK4z/Q3uuXSUz0YyCvRoHVK784LEFTRiIROXw67vOH2tzbzDm7TpqSxHg1WGeV2gGMMQytmzhsrPBoJwGDHT2OrOH38S90qWPoGlQq83stBzOQKA/mb0gFBP/8hTY/gFuN+nV92Qeva1v79qXMubEVye46dzCYEIaTU5vy5DWuO6Z8XKgRMhVnXyhKOFC4p2HSxo0JLtcP7j8qtrp9MS5rX/imTpJlXfcyjiQoinuV1lTSSEvk79YcYfExYZ3XyYhtbue3CErQDKxHXxkgycDADa9NT8I5vZDgerKHO7RDHGaF8/yz+2FQD4Pg2NreLuw+wn2+/sWRQ8h8/hsxWDPkmEeJJiU15o+31CaxEAcOIFrWZpHVACiBltp1xNvxmfeo6dCN5D3DbEKuAjAJBf/APXLDQVOBFiVVHU+UMIRA4j5xAcI/qwfy1/syLpx0XBs234rFVAfCJFd3IQAPSrZW79onr9fEkAkGnh1GvWbgq5JGdhx9kHHx6/8eY2WzGUSRL2JdfBFRDK3buWkuawHQ72YTgRYlWRfzRG+yYNAOwHTeE6GbaqbaVI1bIFiSvmtP/SVezCYhiHUhEAcAgzWVmttHb/Lp16KJXNEStWPNGSTt/8eD0mJS+NxTBKIIVih4hZQHJoeX7ub6vx0mvGzzyvUsygCu5flSceAwCrgI+s2nzCdjjvqClN5IXocf4j6tvXYTcSfXr4yL2wXIP5IQnoV4sEgCNptI7VwZuOIvtvO85ccnF1pjKLzTj+i1+7qW23cAAoeHBdfuEw2+FgH4ATIVY5tDxfv74wR+IsGfwF2+G8QyN6ycXV/6v7cVv3AHYjSVdCUqa+X9Scr6/+viQAZBXAxbcs3/HUsvP+qs2Eby4sVWiV7EZSnG23cL5vYwDIP/4Lnk1h5Mz5QsUMITd2HSXNLZwvIWLtIVxp66/HNHCo26POx2wHAofTaBoBYV4rq5XW2Z2wFwAAHGS1d1SvuUvTYU0GRl6I1tI6tmP5F8lxGDGrcDbFrhVIp2U7IOy9cCLEKkGRFKe6cwkAbLoMNKoqS7vu7tdQmohmRrGuzf5nNAC0cyG8xeacCHlk4bqjB1ON4iFYZ58OgR6tll1eh8AYwgEA4Dq5S/pPBADtqxTpiZ1sh4O9F06EWEXpst/kHfwZAHgetW17fsp2OO+cTku4m3l/WttJbAcCAJCthgtvEAAM8DX/i2uALwEALxXoaqZR5J6wxv3shXa/3N7DdiDviAO7i/zaA4Ds7H51yj9sh4OVjbVrVSaTzZ8/v3///pGRkTLZuyV0KYr64YcfBg4cOHXq1KwsI3r6bekQyv1tNVKrCC7PYcQsgstjO6BCt97eOfTweFTHmYzV2i1f0eCRAWbdL6rXzYu05gEAHHjGfu+o3uSAsWn5Lw4/+pPtQN6xH/IVx8YeaDp39yqkVrEdDlYG1hJhbGysq6trbGysi4vLvn37irYfOHBAoVDs3r27adOmO3bsYCs8rATZ+UPqp3cAwLbHSJ5HbbbDKfQs//lPN7Yt7sRord3y6ftF/R2IurbmnwiFHOjpTQLA/mdGcUcIhVV8vz6blpj4MontWAqR1naSIVNB36dyGC83Y4xYmwedmJi4aNEiPp8fGhoaFRU1duxY/fYzZ87MnDlTKBSOGDHi5cuX7zs8Ozv7+fPnxbc4OTkJBILSe1L/qtn4LYr2zXPpH9sBgF+7idVH/T/4ZjLznmcps5ckrp4fNN2WZ2Mk/755Gjj9CgHAQF9gPiRWfs8H1EL7UiBFhq5lUC0dGW68bBzgLA6eO+vcAgnftrFjA4O2RVEUQRAffNv5jdtYtQ1RXolX/H1S0DRQ0Li1QaMyb5X9eCFJkvjQOousJcLs7GxXV1cAcHV1zcl5t/hCRkbG2bNnZ8yY4e7uPnPmzDKP1el0v/76619//VV848yZM1u0aFF6Z7lczuPxysyRWIXQVMHuVUirAZ6A03u8VPbhUnA6nU6hUJCkAfsblDrVgisrxzUeIQEbqVRquIYqZW8qV0MLAaC7k0IqZbq3UCaT8flMLykXbEdYcayUFPHbw4K6zYxomekZ/pOXJH0/s+VkD7Gb4VpRKBRcLlejqcAL7xpOPLqJ8rJyY78XTVpBGNOIa9NCUZRMJuNwKvooxNbW9oM7s5YIEUL6LI0Qoul3HxkKhQIhFBMTc/To0TVr1qxfv770sVwud8aMGRERERVpiMvl8vl8nAirTBr3G/X6KQBI+n1mXbdRRQ7R6XQ8Hk8iMVQxCh1NLT23LqJ5WHvvNgZqomrirlIAdFN7oq2PHfOtUxRlb2/PcKP2AD18qAPP6ONvBGuCxQy3Xg57sI8KnhF9+fsVXRbYCw31z8Hj8bhcrlBYkZ55e/WwGZkb5yJZLpzeYx8xy0AhmT2KojgcTs3+qrP2jNDR0TEjIwMAsrKynJycirZLJJIBAwY4OjqGhoampqayFR6mp32VIvvrNwAQNgywDurFdjgAAAjQ8r9/CPRs3cm7Pdux/IdUC/GvaAAIq2P+40WLG1ybAIDH+ehWtrE8KdSrI6k1qeXoyAvRBboCtmMBABA0aGHdoTcAKK+fUd2+xHY42DusXbGBgYFxcXEIobi4uKCgIABITk4GgNatW//1118ajeaPP/5o0MCw/ftY+RCly9mzGlE6Uii2H/qVkRTd3XRzh7OV48CGvdkOpKTDqXQBBfBvYrAcfXwKK2z8bjRjR4sEuDUPbfC/RRdXGUkVX7u+Y/Vr8+b9vp5WGEuXPsZaIoyIiEhJSQkPD09NTR0+fDgAzJgxAwDGjh178+bNsLCwmzdvTps2ja3wMACQnYrVvnwKAHb9xnPs2VzDusjRxyczFJnj/CvUK84wfRpoZk80llhWIrTiQg9vEgB+N5qxo8WF+HZu4FB37dWf2Q4EAIDgC+2HTQeCoGS5eQc2sB0OVoi1Z4TW1tbfffdd8S3x8fEA4ODgsGLFCpaCwt7Rvn4m+2sPAAgbtRK368Z2OAAAl15dPff84vLOUWzV2i1Hrhr+eokAYLCF9YvqDa5N7H8Gj/PRjSwU4GR0/zqj/MLXXv15z72D4U0GsB0LCOo0sw7uK79wRHnjnKhlJ5FfENsRYXhlGaxMNJXzm75T1MpIOkUfZD/+9U7swuDZPI6xzOUv7lAaraEBLK9fVK+3T+HM+tgUo+iBLG1q6/H/ZN7/69lZtgMBALDrPeZdB6nyw8OwMUPDiRArg+z079qXT0DfKSpxZjsceC1/syrpp4Ws1totX+xTGgBaOFpcv6ieFRd6eZMAsDfFKNYdLY0kyMgOM449+ev6m2S2YwGCL7AfOg0IgpLm5h0yij5bC4cTIVaS9u1zadxuABA0aClu153tcCBfLV2QsGJO+6muYvZTcpkyC+BMOgLLGy9a3JA6BAA8l6OkDONMhSDkChZ3mrPp5o4nuc/YjgUE9fysO/QCAOXV0wX3rrIdjqWz3OsWKxtCuXu/RzotIRAZQ6dogU4deSF6fIuR9eyNZV230vY/o3U0EP8mA8vUw5u04wMA7DXW3lEAkAjsFgTPir68LsMIqvja9RnLcXABgNx9P9AFRlRJ0QLhRIj9hzzhqObZPQCw6zWK6+DKbjA0opdcWt2rbkhr9zLWDDIevz2lASDQhahjY7mJUMgpLNUb+5SmjPSeEADAw9ptRrvJUReWyTUKdiMhBCL7sKkAQOVlSo9vYzcYC4cTIfaOLudt/r9riloH92U7HPjh2pYmTg271+nKdiDleaFAF98gAAiva+lXk/4deKOCc+lGnAkBGjs2GOkXFpWwTEuxXCxX2KiVuG0IAMgv/qFOuctuMJbM0i9drLi8fT/oCy0ZQ6fojjuxOlo3rMlAdsP4oD1PEQLgEBY6caK4ru6EiwgA4Lcnxts7qhfk2fYjn6Dov9mv4mvXbzzHxh4Qyt27FmmNaLFWi2Lply5WRHn1dMGD6wBgExLOc/VhN5hTqecfZD/+uu1EdsOoiN1PaAD42INwE7EdCtu4JITV1ldlolU6tqP5kND6PZxFjjHJu9gNg7SykQyYBAC6jJf6mbsY83AixAAAaIU07/AmAOC5+9p8EsZuMDff3jn86M9vO84wklq75biXh27nIAAYXg9fSgD/vg9SLfz5wthvCgFgYsCoDEXWgYfH2Q1D1LKTqFkgAMjO/K5NT2U3GMuEr14MACDv8GZaIQWCsB/yFcFhbb0hAEjJS9twY9viTvOERlNrtxw7H9MAYMUtHCeCtXMh6tkSALDriVE/JtQjgJgV+MXlV1cTXlxmNxLJoM9JoRWidLmx34ORTsU0Z/jqxUD96Kby2mkAsO7Yh+9boUJLBpKpzFp6ae23HWcarm5ODaIR7H6CAKCPD2ljjMvdsIAAGF6PAIA/X9DZarajqQAeyV0YPPu3ewf/yXzAYhgciZNt79EAoEl9IL/I8h2qBcKJ0NIhrSZ333pAiCNxsu01isVIFFplVMKyr9tO9LLxYDGMijubjl4oEABE1MfX0Tsj6pEEgIYuXG3H+Il5VouD53x/9ecX0lcshmHdobf+a6j0+C9UfjaLkVggfAFbOmncbl3WawCQDJxMCq3YCkNL66ISlg1rMqipE5u3pJWi7xd1FkI3T8udPlhaPVuinQsBADuNfuxoEScrx2+Cvl50cVVuQR5rQfz7YIIuUOYd3MhaGBYJJ0KLpn2TJj97AABEfkEsroKPAK34+4eOXu2CvQPZiqGyFDo4mEoDQHhdkocvo/8aWZ8EgL8z0KN8k3ncVVtSa0rAGHar+PLcfa27DAQAVXJiwd0ktsKwQPgKtmAI5e1bjygdIRBJBk5mMZANN35xE7v2b9CLxRgqa/8zWqYFAPgU94uWMqQOKeAAAPz62GRuCgGghatf/wa9FiaupBDFVgy23YdzHd0BIPfAT0jDWkq2NPgatlyKK3+pU/4BALueIzkSJ7bCOPL4RLYqZ4z/MLYCqJodjwrL8Bph+T3WOQigrw8JANsfI2Nebq20j307NXFquOYKaz2TBI8vGTQFAKicDOlJluc4Wg6cCC0UrZDmH90KADyvetbBoWyFcfHllfPPL80NnEqAKaWTVBk6/wYBwOgG+Aoq26cNSAB4pUBnXptUJgSIaBbG5/B23d3PVgDCxq1FLTsBgPz8YTytkBn4MrZQ+UdjCicOhn0BJDu/BveyHu38Z9+i4DnGWWu3HNsf0zQCHonn0b9Xd0/C3QoAYNsjU+od1fui1WcPsh+fTDnDVgCSfhMKpxXuW4+nFTIAX8aWSJ1yV3ElHgCsg3rxfRqyEsMrWfrqKxsWdZpjzRezEkCVIYCdjxEA9PImXS1+WbX34ZKFQ2YOp9K5pjChsDiSICM7TP/zafzV9JusBMCxc7Tt+SkAaJ4VXqqYQeFEaHloKu/39YAQx8betvcoVkLIU+cvSFwxL+grFyvWnk1W2elXKEWm7xc1pe5c5o1uQBIABRTsNpEJhcUJOPzFneZuubXzSW4KKwFYd+zD86oHRZ03mCHhRGhxZBeO6B882IV+RoqsmQ9AqVXNPbdkYstRdSW+zLdefVsf0QDgJoKe3vjyKU9DO6KDGwEAWx+aXiIEADuB7YLgWdGXf3iryGCheZK0H/w5EAStkOqLo2GGg69ky0LlZ0tP7AQAQT0/q1ZdmA9AR1MLElf0b9CrlZs/861XX7YaDqfSADC6AcnFV8+HjG1AAsCtbHQ9yyQfdHlYu81sNyUqYblMI2e+dX6tRuL2PQBAcfmE5vlD5gOwHPhStiz5R7YgtYrgcCWDPme+4iACtPrKT63c/LvV7sxw0zVl52O6gAICYExDfO18WFgd0o4PALDlgUneFAJAI8f6o/zC2aria9drFCm2BYTyfv8Jj5oxHHwxWxD142TlzfMAYN0plOdWi/kAfrm9h0fyhjTux3zTNWXzAxoAOrsX1ljAymfFhWF1SQD47SktZ7kafNW192zdtVbw0svf04ynIlJsa9dnDABoXjxSXD7BcOuWAydCS4EoXd6BDYAQx87R9n8jmA/gj6fxT3JTvmozgfmma8qFN+h+HgKA8Y3whVNRExqTACDTwh4THDJTpE+97u7Wrptv7WC+aXG77vxajQAg//gveNSMgeDr2VLIE45q36QBgF3oZ4SA6VH/Sa+vn3h6KqrDTJIw4V+5TfcLV9nG1Qcrzt+BaOtMAMAmk+0d1fusRURuQd7+B8eYbpggJIOmAEHQShkeNWMg+Hq2CJQ0V3ZyFwAI6jW3CujMcOsPc55svrVzyUfzhFwBw03XoMwCOPDvMBn9QppYBelvCq9noSuZJvyUiwBiZrsvktKvn39+ieGm+d71342aefGI4dYtAU6EFiH/2Fa6QAkkh/nFtdPlb5ddXrcoeLZEYAK1dssR85BWU0AAfIb7RSspvA7pIAAA2HjftG8KuSRnQcdZe+8fupN5n+Gm342aObABj5qpcfiSNn+a1Pv/FqDvzXP3ZbJpqVoWlbBsZrsvPG3cmWy3xlGocJjM/7zxMJlKE3ELV5mJTTGNsvXlEPOsFneau+7qpufMVvElxba2PUcCgCb1geLqKSabtgQ4EZq7f79CktYS2x4RTLasoTSRF6JH+YU3cWrAZLuG8OcLOlWGAGBSY3zJVMXExiQBoNLBNtOcXF+ck8hhfofpiy+uylHlMtmudfuePM+6ACA9vo0uUDLZtNnDV7WZUyTFaV48BgC73qOYXEeGRmjJpTVdfYM7eLVlrFHDWX+XBoBa1gReTaZqGtoRIZ4EAPx0jzatwkxl8rXzntJqbGRCdAHF4B0uSUoGTgaCoKS5sr9+Y65dC4CvanNGFyjyj28HAL53A3G77kw2ve3+7jqSWqH1ezDZqIE8zEenXiEAmNKE5OBu0ar6vCkJAGly9Mdzk78pBIAWLs0GNuyz7Oo6Jqv4Cuo01Q92k58/rMt4yVi7Zg8nQnMmPbmblucBQUgGTmJyHZnYB4cLdOpRfuGMtWhQ6+/SCMCKC2PxajLV0MubrGNDAMC6u+aQCAGga61gP6cmP9zYwmSjdn3GEnwhonR5hzcx2a55wxe22dK9faFIOAoAVq268H0bM9bu2bTE5Iy7k/xGMdaiQeVpYMdjGgBG1i8c+ohVDUnAlCYkAJx5jZJzTL97FAAABtbrLeQKd9zZy1iLHImTTcgQACi4d7Xg3lXG2jVvOBGarbwjmxGl2pKhNAAAIABJREFUI/hCuz5jGWs0OePu/odHI4OmcwgzmWoX85CWa4EA+KIpvliqa2xD0oYH8O8zV/MwofmnT/NSTzxlbiSnTeeBXAdXAMg7vAlROsbaNWP42jZPBfcLvy3ahAzh2Dky02hq/osfr8csDp4r4gqZadHQtDT88A8NAN28iCYS/Hiwuuz4MKoBCQC7n9BvVWxHU0NIgvgmaNrJlDNX0m8w0yLB49uFjgMAXcZLfa8PVk04EZohROnyDm8BAI6Di03ngcw0mqXKWXJxdWSH6Q4ie2ZaZMDvz+gXCgQA0/3M5AaXdV83IzkEFFCw4R5zY0wMTV/FNyZ512OmqviK/IMF9fwAQBr3G16AtPpwIjRDiot/6N4+B/1zdR6fgRaVWlXUhWVT24z3sfVioDnGrLlDA4CfA/GJJ74drBm1bYh+viQAbLhPK82oV89WYLOw4+xll394w1QVX0m/iUAQtEqurzCKVQdOhOaGVsqkcbtBP9K6RScGWtTR1LeJy8Mah/o5N2GgOcacfl1YTnZaMxKnwRo03Y8EgKwC2P7IfJ4UAoC7teuswM+/TVgu1cgYaI7nVVfcrhsAyC/9qX3znIEWzRhOhOamsKuEIOz6T2BgygQCtDJpfVv3gM4+HQzdFsNWJFMA4CkmhtXDl0lNau9CBLsRALDqDq0zq1QIDR3qjW4eHnVhmYbSMNCcbc9RhEAENJV/hNEpHOYHX+FmRZf5SpF4DACs2nzC92ZiYbOY5F0Sgd3gRn0ZaItJN7JQ/CsEAFObknx8ldS0mc1JAHgmQ/ufmVcmBAj0aB1Su/OCxBU0MvhL49ja24YMBf3guPvXDN2cGcOXuFnJPxpTOGWi1ygGmjv+JO6VLH1CSybaYtiyZBoB2PFxrQmD6O1DNrMnACA6mTaTGYXF9KobUs++9vdXmZjwbv1Rf/1UivwjW4A2n/FHDGPnIpfJZPPnz+/fv39kZKRMVkZ/+rNnz3r37s18YCZN/eS26s5lALDpOoiBKROXX107nZYwr/1XJINr1jDjYT7Slx6c0oSUMDHYyOIQALP8SQC4nYP+fGF+qRBGNx+mobX7HhwxdEMEj2/bZwwAaN+kKS6fNHRz5oqdRBgbG+vq6hobG+vi4rJv374SP5XL5StWrFCrTbxeC8MQyju8GQA4do42XQcZurWH2U+239mzKHgOn2OGiWJZMk0jsOLCV83wrAlDCa9D+toQAPDdTTO8jyGAmNF2ytX0m/Gp5wzdllWLTnzfRgCQf2InrkpRNewkwsTExNDQUD6fHxoampCQUPxHNE2vWLFi2LBhrARmupTXzmhfPgEA216jCL5h57O/lr9ZkfTjouDZNnzmylkwJk2Odj+hAWBCI9LZTBYGMEZcEmY3JwHgcgY6/doMbwq5JGdhx9kHHx6/8ea2YVsiCEnoeCAIWp4nOxVr2LbMFJeVVrOzs11dXQHA1dU1Jyen+I/27Nnj5eUVHBxczuE6nW7JkiWbN28uvjEqKqpVq1ald5bL5TweTyAw62UidVrVsW0AQLr5qusGqP/7ltYsmUa+8Nqqyc1G89TcHHXZDel0OoVCQdMmOQ4i6qZQS/MEJBrnI80xqSUxc3NzSdKUnmiGOsFikfVrFRF5Rd2yk0neyigUCi6XW87Hy4zmUxZdWfWV/4RaNoacYmvnxmnclrqXJDt3UNesI2HL0GJSrKAoSiaTIVTRa9POzo7D+UDXDjuJECFEEIT+D8U/Lm/cuHHz5s3ly5eXfziXy502bdqQIUOKb7SysuJyy3g5HA6Hz+ebdyKUn4pF0mwAcOg/gW9vwIVd1JRm4blVEwI+DXDzL2c3nU7H5XIlEonhIjGQVBnak0YDwNiGZCM3O7bDqRydTmdy7/mcFujLy/TlLM4NlaSrO9vRVB6Xy+VyuULhe7sOJCBZEDxr8aXV0R/Nd7ZyMlwkun7jMx9eRzotJB6SDJthuIZYR1EUSZIV/1WvyLdDdhKho6NjRkaGl5dXVlaWk9O7X44bN24kJyf/73//0/81JCRk7dq1zZo1K30GKyurCr4R5L9qJHIjRMvz5Wd+BwBhk7bChi0N2BCil15e+7+6H7fzKOPOuzjTfc+jb1NaGgQcmNuCQ5raNHpTfM8/awTLb6NXCrTwJv2JJzsfR9VRkV/12va1vmozITJx2dqPl4h5VgaKhO/iKQ7uKz93UHX9rM1H/fne9Q3UEOsQQjX+q87OZRMYGBgXF4cQiouLCwoKAoDk5GQAGDduXPy/ACA+Pr7MLIgVJz25iy5QAkna9TVslYn112MaONTtUedjg7bCoqdSpK+4NK4h6SU2sSxoooQcmONPAkDiG/TXK1PqiK6U5i5NhzUZGHkhWksbcFk5227hpJU1IJR/bKvhWjFL7CTCiIiIlJSU8PDw1NTU4cOHA8CMGeZ8L284usxXissnAEDcthvPrZbhGtp1d7+G0kQ0CzNcE6xbcIPW0iDkwFx/E7uvMmnjG5G1bQgA+OYqZbaZEKCzT4dAj1bLLq9DYKhXSVrZ2ISEA4D60a2C+7hUYSVU6IKfNWvWyZMny5zwVzXW1tbffffd3r17Fy9eLBaLAUB/C1hc6S1YafnHtuln0Nv2iDBcK6fTEu5m3p/WdpLhmmDd3Vy052nh3EFPfDvIID5Z+M3jWhY6kmaSA6wqKKxxP3uh3S+39xiuCevgvoXz649uBdMcrcaKCiVCiqLWrFkTFhYWFRV17tw5lcpcKomZOE3qfdWdSwBg02WA4WbQ33p759DD41EdZ5pNrd0yfXONphDY8mCOvzm/TOM0qgFZ305/U0ib810hwOSAsWn5Lw4/+tNA5ye4PNtenwKANj1Vce20gVoxPxVKhKtXr46NjZ0yZUpBQUF0dPTgwYOXLl16+fJlrVZr6PiwcuQfjQGESGuJTdfBBmriWf7zn25sW9zJfGrtlunS28J7kenNOU7m/EKNFI+EJa1IALiXV/iY1lyRBPFN0Ndn0xITXyYZqAmrgC48r7oAIP3zV6RlYu1vM1DRZyH29va9e/desWLFvn37pkyZIpPJFixYEBYWtmbNmps3b1KUGa4NYeRU//ytTrkLALbdhxECkSGayFJmf3dxTWSHGfZCExuUX1kzr1AA4CKCac3w00F2DK5DtnIiAODb67TKjOoUlsbn8Jd2nr/77u/3sh4apAGCsOszFgCovEw5rl9fMZW77BFCeXl5UqlUpVIhhFQq1f3792fNmjV69Oj79+8bKESsDDQtPb4NALhOHuKgnoZoQaFVRiYs+6rNRB9bT0Oc33gcTKUvvUUAENWSY81jOxpLRQAsb8sBgJcK9P1dc74pBAAxz2pR8JzVVza+lL02xPmFDQOEjVoBgOzUXlrJRHFEU1ehRKjT6ZKTkzdu3Pjpp5+OGzfut99+c3Z2njdv3oEDB7Zs2bJz5866detu2sTEUuuYnuJqvL4Up12vUQSn5mdf6WhqQcKK8CYDmjk3qvGTGxUNDbOv0ADQwI4YjwtNsOpjD6KHNwEAy25Rb819HIKzldM3QV8vTFyZW5BviPPb9RkDBEEr5XjRtYqo0GfooEGDFAqFo6NjUFBQUFCQv78/j/fum7Obm9uQIUPmzZtnsCCx/0BajfTELgDgezcQtShvLboqnh/Q8r//3959x0dR5n8A/zwzW7IlvRN6L6GEEkIgEEBAigYsKCKeKN6pd57wE8UCHIod9ex6yp2np3BBRUVEQicJhNBDryFAICEkIcm2JDszz++PjRwgJcAms+X7/sOXTGaf+WYY5rtPfz8prvfAZv3cXrin+XCvcqSKA3gjUdBSHlTbvERx5Smpyom/bZM/HeDjo5Zah7R4LGHyrMzX3hoyJ8DdffDauDbGnqn2bWutWUvMKbeLoVHuLd/H1CsR3n777f3792/Xrt2VJvO3bt16/vz5bg2MXJE1a4lccRZA8G2TG2IP+n/s+DLSGH5nB9/fButsNebukAGkxrKxLSgNqq9LKHu4vfCPA8r8g8pjnYXuYT4+j6VnTLey6vKXNrz18sDnBebmJzBo1AOOnVncWVuV8U3ovdPcW7iPqdetf+ihhzp06HCVJW10Ol1YWJj7oiJXpDjq2joCOvTUt3f/gmpLDi8vsZ2d0r0BZyV6jplb5YpaiAx/T/LxyocXeamXGKKDzPFkjl8MwRvWMrV9WJu/b/nU7SVrwmNN/UcDsG1eJZ056fbyfQl9C/YyltXfKnYLGAsaM9nthW88tWXdiQ3P+eJeu7+3vZT/82Ddgmo9wn3/9/UWUQbM7ikCWF/E0/N9fNSMy4NdJwhMWLhvsdtLDho+gekNUOTKX/7t9sJ9CSVCbyJXlVszfwRg6JHi9kV1D5Qd/mp3+ospM7Si7w+d5MBfNsoyR5geL/em6qBn+UtnoXMIAzA9V7H6x1zlJ3v/cc/Z/SuOrXVvsYI5JDD1DgCO3RtrTzTMbA2fQInQm1hWLOC1NRDE4FF/cG/Jp63Fb+V+9KKP7rX7e/86qOSUcABze9EMeo+jFfBBct1Uihe3+0UDqcCEWf2n/3xkxbbiPPeWbB58p2AKAueVS79wb8m+hBKh15DKimw5ywGY+g7XRLpzbl9lTdWcrDef7fdktCnSjcV6rNJqzNgsA+gVwf7Uif4JeKIhTdg9rQUA7+5VdnvV9sg3LECjnzvw2X/s+PLIuWNuLFYIMAYOuxdAzaGdNYd2uLFkX0JvAa9RtfxrLktMqwsacZ8bi62WamZlvvbHHg+0DW3lxmI92VO5clkNRIZPB4gidQ56qneShCAtJAV/ypYVv0iFCNEHz0l55rWc90rspW4s1tx/jBgSCaDy5y9Q743d/QolQu/gLD5u37YWgHnAba5n2i0Urry88e3RbYb1ju3hrjI93KpT/D+HFQCPdRJ6R1Aa9FxNjOyVPiKAnBL+yX6/GDUDoIk5Znrfx2dnvm6ttbmrzPPfnmtPHnLsyXFXsb6EEqF3qFr2JRSF6Q2Bt9zjxmLf3/p554gOI1oPcWOZnswu4U/ZMgeamupessSTPd5JSIpiAJ7fIp+0+UtVplN4+we6jp+d9bpTdttIofP9KVXLvqJK4e9RIvQCtScOOXbnAAh09Xu7yZe70yVFuq/zne4q0PPN3CrnWziAj5KFIN8fG+v1BIbPU0SdgCon/pTtF6NmXJLjEgc1T35tk/t28RVE15alzqICV9sSuRAlQi9QtexLcC6Ygsypd7irzFUF6w+UHZ6W+Ki7CvR82cX8vb0KgHvbCLfTOjJeIj6UPd9DBPDrSf7vQ/7SQAogrd3ISEP4/Lyv3VWgMWGQtkkrAFXL/8Nln97g4/rR68DT1eTvrT6wDUDg0PFCgNEtZe44s/vHQ8v+NmC6b++1eyGbhMmZssIRZcD7/fzlt/YNz/UQuoUxANM2yYV+00AK4NGeD5bYSr8/uNQ9xTEWNPIBAFJpkT13hXvK9BWUCD1d1dIvAIhBYeYBt7mlwPyK4x9v/9fcgc+7fZ1fT/Z0ruxaXPvjZDHSj35vX6AT8OUgUSugohaTM317B/uLMLBnkp7IObUl66R7RrgY4pN0LToCqFqxkPbsvRAlQo9WfWBbTf4eAIHD7mU6/c0XeNZe+urGv/9twNOhAcE3X5q3WF7IP92vAJjYVrizFT3z3qdHOJudIAJYdYp/4Ou7FV5IK2heTJmxYN/iPWcPuKE4xoJGPQBArjhry/nVDQX6CnopeLSqZV8BEEOjTP1G3nxpNqd9dtbr0xIfbRrY5OZL8xZnqzF5vcSBZib2YTI1inqrZ7vXjSCdsVn2kyn2LiatcW7Ks+9u+fRk1ambLy2gQ099264ALKv+y2trbr5A30CJ0HNV793kWh4waPgEprnZMY5ORZqd9fp9ne/qEuHje+1eiAOT10vFDggMX6WKITq1AyI3SiPg61QxUItqGfetlR3+NNojwhj+QvK0lza8da664uZLCxr1BwBy1Tlr9s83X5pvoEToqTiv/PU/ADQRscbEYTdbGPibm94f0LRvSrMkdwTnNf6+W/nlJAfwTDchNZamz3u3NkHMtQbpnnN86iY/mk0BoFVIiz/3fGhW5mvVUvVNFqVvHR/QoScAy+pFvMbhjui8HiVCD+XYtcFZeBRA0IiJTKzX/slX8fH2L2JM0ePaj3ZHaF4jt4Q/t0UGkBTFXupFjaK+4A/thPvaCAA+O6AsPOpHnYUAekR3Hdd+9IvZ82R+s18CXMNHFVuVNfMnd4Tm9SgReiTOqzK+AaCJjDP2GnyThf10+NcyR/lD3d25QqnnK6vBPWvkWgWheiwcLGrpSfcVnwwQ2wUzAH/Klg9U+FFnIYChLQd2jujwzuZPbrIcXcuOAZ0TAVjWfKc4rO4IzbvR68ETOXZmOU8fAxB06/0Qbqoqs6Fw8/oTG59LepLBjxoGFY7710rHrZwB/x4otgz0o9/d5wVp8e1Q0aCBxYk7V8l+smHheZPix+tE7dd7v7vJcoJGTgJjisNKlUJQIvREnFdlfA1AG9Pc2DP1ZkraV3roP3sWvZTyrD/stXuhv22XlxdyANO70SIyPqh7WN0A4H0V/CF/mlno8kSvRw6UHV6ev+ZmCtE1a2eI7wfAuu4HqhTSO8Lj2HesdxafABA04n6wG6/KnLIUvb3545cGPmvWmdwXnRf4oUB5ZYcCYHAse5V2n/dRD7UXHukoAPj2mPJGnn91FgpMmNX/qWVHV24puqn9BYNuvb+uUrj+R3fF5qUoEXoYRanKWABAG9vS0CPlhoupqKmck/3m88lTo4wR7gvOC+SV8wfWyxxoYWbpQzUaesB91wf9RNfMwhe2yj+f8K9cqBd1cwc+9/nO/xw5l3/DhWjjWhu6JsNVKbT7daWQ3hOexb5jvXTmBICgWyfecHXQ7nQ8t+7lRxMebBPS0p3BebwzDqStkK1OGDX4YRgtpebj9CK+v0WMMzGFY+Ja/5plDyBYHzQn5ZnXct4/Yyu54ULqegqrbdb1P7gxNq9DidCTKErVigUAtE1aGboNuLEyJEWek/3muPaje8V0d2twns4hIW1l3QCZLweJCeE0QMb3NTGyH26pGzgzZoVc7GeT4pqYY57u++fZWW9Yam+wPqeNbVlXKVz/oz9XCikRehD7jvXSmZMAgkbcYHWQg7+9+aNeMd2Ht0p1c3CeTeG4f52cW8IBzO0t3kULivqNPpHsq0EiA05Y+ZgMyd8GkXYMb/dg1wk3s4tvXU9htc26frF7Y/Mi9L7wGOerg7EtDd3631gZX+xaqBW093Qa69bIvMCTOfLiAgXA5PbCCz3oqfYvd7USXusjAthWysevkZz+1V2IfnG9h7RIeTXnXeWGtp7XNmnleuFY1//kt5VCemV4CvvOzLrq4I32Dv5ydOWRc/lT+/zJ3aF5uld2Kh/uUwAMj2P/GEDDRP3RjO7Co50EAL+e5FOy/G5CxW1tR8Saoz/b+eWNfdzVBKVU26yZfjp8lBKhZ+DcsvK/ALQxzW+sdzD39LZfj66a3f9pgfnX3+kn+5WZW2UAvSLYd7doaAUZv/Vhsji2hQDgq8PKND9biRTAIz0mnauu+O7AjayjrW3S6n/DR/1yTiG9NjyCY2eWs6gANzp38GD5kc92/uflQc8HaNywZ6EX+c8R5S8bZQDtg9myEZpA/1o2gFxEZFg4RHQtrf7eHmX2Nv/KhQzs6b5P5BZtW39i4w18PGjEfb9VCv1xoRlKhB6Ac1fvoCa6+Q3MHSyynnk9572XUmaE6P1or10Ai/KVhzJlhaO5ma0cKUYZ1A6IqC1AxE/DNX0iGYC5O5RXdvpXb6FGEOcMeOa/+3/YfXb/9X5WG9fGEJ8E1/DRansDROfRKBGqz7FrQ111cPi911sdrKqxzM56/em+T8QFxjZEbB7ru2PK/etkSUGsEatGis3NNFmCAECQFr/equkaxgDM3Cq/7meLzpi0xrkDn3tvyz9OXP8uvoHDJwBQ7BZb1pIGCM2jUSJUG+dVKxfCtdFEQup1fbRWrp2V+dqDXSd0jmjfILF5qvR8ZcJa2akg2oDVozSuvQgIcQnXY9VITecQBuC5LbK/1QsjDGEz+z81d8Nb5Y5z1/VBXbP2AZ37ALCsW8xrb3bXQ+9CiVBl1fty6/YdHD4BwnX8dSicv7zxnSEtU/o3TWyw6DzRl4eViWtl6bcs2CmEsiC5VJQBq0fX5cKZW2XXcCr/0TK42Z97PTwr6zXHde7iGzRiIlz7FGYvbZjQPBQlQpVVZSwEoAmPvd59Bz/aPr91SIu0diMbJi4P9f5eZfJ6WeZoYmRrR2u6hFIWJJcXY8Da0ZruYQzAKzuVv+bIij9NqugRFX9nh9tezH7zunbx1bXoGNCxFwDr2u+5s7bBovM4lAjVVH1we+2JgwACh91zXfsOLty32OGsfrDrhAYLzeNwYNY2+ckcmQMtA9n6MSLVBcnVRRmwZrQmMZIB+GCvcv86udafWkmHtEjpHhX/du7H1/WpwOH3AZAt52w5vzZMXJ6IEqGaLCsWAhBDIo19bqn/p9Yez955Zs9TfR9vsLg8jqRgSqb88g4FQOcQljVGbBtEWZBcW5geq0ZphjRhABYeVUZnSFX+tAbbhM53BGgCvtz93/p/RN+6i75tVwCWNd9xWWqw0DyLOonQYrHMnDlz3Lhxs2bNslgsF/4oKytrypQpY8eOnTZtWmFhoSrhNY6ao7trju4GEDj0biZq6vmpvJK93x1cMiflGZH5yxIqVU6MWSH965ACoF8Uy7xN09REWZDUV6AWy0Zo7m4lAFh1ig/4WTpp86NG0r/0mnK0ouDXo6vq/5EgV6Ww4qw9d0WDxeVZ1EmE6enp0dHR6enpUVFRixYtOn+8qKho3rx506dPT09P79ev37x581QJr3HUVQcDQ01Jt9bzIwWVJz/cNn9uynMGjb/sMHTMwvsvkTIKOYC0FsKqUZpw/1ozgLiBXsR/h4hPxgsAdpfzvj9JW876Sy4UGHsh+f+W56/ZXLS9nh/Rt0/QteoMwLL6Wyh+Mc6ovhUR98rOzn7ppZd0Ol1aWtrs2bMffvhh1/GioqIhQ4Z07NgRwPDhw//738vX6BVFWbt2rd1+0azPIUOGxMXF/f5kh8MhSZIse9Zfp1R4uPrgdgD6Abc7nBKc126CKKs+99LGec8m/jWA6y/53T2NJEkOh0On091kOdklbGKWWFrDAPy5o/JaghO1sPtRF/71cTgcHv5gqOvVbojTCc/tEIvsGPSL9HFfeXyLm+0ztNvtGo1GUTy97/H5PlNf2PiqAQFtglvW53x9SlrtsX1SWVFFzgpdwqAGju76yLLscDj0+vp+Iw4ICBCuNSBfnRphWVlZdHQ0gOjo6PLy8vPHe/bsOXXqVACyLH/55ZepqalXKqG2ttZ+MU9LdVdXve57AMwYqE8cXp/zHVL1K7l/f6z7g03NTRo4NE/x6SFhzBpNaQ3TCHi3j/xmT1mkBlFyc/7cUVk0SDZruEPC5A3iCzsEP1mfO1Bnfr7P1He2fXrGfrY+52s79BZjWwJwrP8eN7SphXdRp0bIOWeMuf7n91+mtm7dOn/+/N69e0+ePPmyHxcEYcSIEZMmTarPtWRZ1ul09f/60AicxSdq928BEDhonCk0/JrnS4r8t/Vv3ttlXJ9mPRs+OjeQJElRFKPReGMft0t4NFv+zxEFQLgei4ZqhjShVUSvzW633/A99x93tEWHcD52pXykir+7X8yr0Cwcoom+0fX5FEXRaDQBAV7QVdHa2PLZ5L++vvn9eUPmBOkCr/2B4RPKv3xNLilkR3fe8MZwDUGWZUmS3Puoq1MjDA8PLykpAVBaWhoREXH+OOf8s88+++abb2bOnDllyhRR9M3xIJaVC8G5EGA0p9x+zZM5+LzcDxJje6Y296BnseHsr+B9f5JcWbBHONsytm7IHyHu0iWUbU7TjGzGAKwt4j1/kNYX+X6lB0CHsLaTu02Ynfl6rXztDgZj9xRNVFMAro1xfJs6iTApKSkjI4NznpGRkZycDCAvLw/Arl27cnJy5s6dGx4e7nA4HA6HKuE1KKm0yL4jE4Cp/xjBaL7m+fPzvg7RB9/d8dop0wf865DS50dpzzkOYHJ7YeNtmlaBlAWJ+4XqsXS45m89BYHhtJ0PXSa9uF3xh2bSpCa9h7VKnZP9psKv1a8pCIG33AOg9uTh6gPbGiM49aiTCCdNmpSfnz9hwoSCgoKJEycCmD59OoC8vLzCwsJx48bd/htVwmtQljXfQpGZVmdOHXfNk5ceyThlKfpTwoMNH5fKymswfrX8cKZsk2DU4F8DxX8NFA3qtNwTvyAwzOkpLr9VE2WAzDFnu5z6i1Rg8f1kOLrNsLahrd7d8o9rnmnsNVgMjQJgWeXjlULGvbAj9L333gsLC6tnH6HFYvGcPkK5sqx47oNccpoHjAm56y9XPznn1NZFB358I3W2TrzZ4ZeNTJIkq9UaEhJSz/MzCvnDWfIpGwfQLYwtHCJ2plVjrt8lHQ2knorseGC9tOoUBxCkxbv9xMnt61tDsFqt3tJHeCEO/samD1qHtBjfMe3qZ1ozf6pY/AmAqCffcc2pUJ0sy1VVVaGhoW4sk1aWaVTWtd9zyQlBMKfeefUzD5Yd+ffuhS+lPOt1WfC6VDnxx2x55HLplI0z4K9dhNw0DWVB0phijci4VTOvr6gXUeXEQ5nybSukUz496Z6BTU/885aiHSsL1l39TFPSrYI5BEDVqvTGiEwllAgbj2K3WHN+BWDsNVgTcbXtA09bi9/M/fCllBmBumt3InqvpSd4/HfS5wcUDjQzsYyRmvf6iQG+OUCKeDSBYXpXITetbpHupSd4/Pd1T6av0gjiiwNmLD64dHvxrqucxnR686A0ANX7NjtPH2us6BobJcLGY81awmscYCxw6PirnFZZUzUn+81n+/012hTVaLE1stN2fvdq+bYV0kmzhdOXAAAgAElEQVQbZ8DDHYTdd2qGxVFFkKipexjbPFYzM0HQCqioxR+z5dSl0v4Kn82GRq3h5YEvfLhtfn7F8aucZh5wmxBgBOeW1YuucppXo0TYSHhtjTVrCQBDfD9tTIsrnVYj187OfH1K9/vbhbZuxOgaj6Tg3T1Kp2+l744pAFoFsuUjNfNTxGBfbgAmXkMnYG4vcXOaplcEA5BZzHsslp7dItt8dPXpcEPo3wY8PXfDW2ftpVc6RzCYTf1HA7DvWC+Vnm7E6BoPJcJGYtu0XLFWArhKdVDhyssb3r61zdDEWO+YOH+9Vp3iCT9I0zbJVU5oBTzdTdhzp2Y4VQSJh+kRznLTNH9PEs1a1Cp4I0/p+K30zRHfbCltEdxsWp9HX8h81ea84vp85kF3MK0OimJdt7gxY2s0lAgbA5cly7rvAejbdde17Hil0z7YNr99WJuRrYc2YmiN5GAlT1spD/u1bo7goFi2fZzmzUTRSBMkiEcSGabGC/vv0oxvLQAotPH718nJS6ScEh/Mht2iutzX+c5Zma85lcvXfMWgUGPiMAC23BVyVfllz/FqlAgbg2P7Orm8BEDgkLuvdM7Xe7+rlWsnxV+t+9AbFdnx2AY5/ntpyXEFQDMTWzhYXDtaE0+byxOP19TE0oeIq0dpuoYxAJtKeP8l0l2r5YOVvpYOU5v3T2rS6/Wc9zgu/6sFDr4LgsCdta4uHh9DibDhcW5Z8x0AbVybgI69LnvK6uNZe8/u/7/Exxo3soZVVoPntsjtFjk/3a9ICsxavNhLPHC35t42AuVA4kWGNGHbx2o+6S9GGcCB748p8d9LD2fKx60+lQ7HdxobGhD8xa6Fl/2pJiLW2D0FgC17Ka/xtTW/KBE2uOp9uc6iAgCBQ+8Gu0wK2Hlm9w8Hl84e8LTP7LVbXoNX9mpb/9f5ep5ik6AR8KeOwuHx2tkJArWFEm+kEfBoJ+HIeO2sBMGkgaTgX4eU9oukqVs1J21qB+c+j/d8+HjlyR8PLbvsTwNvuQeMKQ6rdcMvjRxYQ6NE2OAsq78DoAmPMfZI+f1Pj1We+Gj7v+YO9JG9dosdmLFZbvsdf2u/rsoJgWFCG2HfnZpPB4gxN7rAPyEeIlCLl3qJR+7RPtFF0IuoVfDPI2L8T+IjWfJhn2gsFRh7IXna2uPZ2YW5v/+pNq51QPsEANb1P3DZp8bRUiJsWLUF+2vy9wAwp94B4dIKX6m97JUN78zqPz00oL6rkXmsw5X80Wy51X+db+5SLE4IDHe1EvLu0CwYLLYLpqZQ4jtiDHi/n3h4vObRToJOQK2C+QeVTt9J41fLPrDxvU7UvZo685u93+4rPfj7nwYOvRuAXFlm37qm0UNrQJQIG5ZlVToAwRRk6nvpBrw2p31W1utT+zzaPChOjdDcZl0RH7dS7vid9I8DSrUMkWFCa5Y9zPHtUJFGxBBf1czEPukv5o2pebwjN2ggc3x7TEn8SRq0VPqhwLs3sjBpjS+lPPv25k8KLZfOGtS3T9A1awfAsnqRL23YS4mwAUlnTjr25gIwD0xjuotaPiVFnpP15oTOd8RHXnE2hYezSfj8gNJjsTT4F+nH44rCYdDgsU7Cwbs1Xw1Ep6BrbfJCiPdrasTbvZWCe7Qv9BDC9ACQWczvWCW3XSTN26WU1agd342KNEa8kDztxex556orL/mRa+i7VFLoern5BkqEDciy9jtwznR684DbLjzOwd/Y9H5SXO+BzfqpFdvN2HOOP7FRbrrA+cdsOa+cA4gx4MVe4vF7tR/3F9sEUS2Q+JcoA17uLR6/V/tBcl1HQIGFP7NZbrrAOWmdnF3slTWn1iEtHkuYPCvztWqp+sLjhu4DNBFNAFjXfKtSaO5HibChyFXnXM3opqRbBVPQhT/6x44vI43hd3YYo1JoN6iyFp8fUPotkbp+L324T6moBYDESPZVqlhwr3Z2ghDpC8N9CLlBZi3+0lk4cJfm5+GaEU0ZA6plfH1ESVkqdf5Oemu3Uuxtkw56xnRLa3/rSxveumgXX0Ewp94BoCZ/b23BftWCcytKhA3FmvUTl5wQRPOgizbgXXJ4eYnt7JTu9dpM0RNICn49ySeulWMXOP+YLW8q4QBMGkzpIGwdq8lN00xqK+h9ZN4HITdLYBjTnC2/VXPwbs30rkJEAADsr+BP58rNFjrHZEjp+YrDe0ZcDmuZ2j6szd+3fHrhQVPiMMEcDMA1Q9oHUCJsELy22rZxGQBjjwGa8Jjzxzee2rLuxIbn+k0VLjeh0KNwILuYP7FRjlvoHJUhLTha9683MZJ9OkA8PVH7eYroWpiYEPJ77YLZvL5i4QTtwsHisDgmMEgKfjnJ710jx3zj/MN6edlJ7vSGnvQHu04QmLBw3/9WGT3f3ePYvVE6c1K90NyGEmGDsOUsV2xVAMyD7zp/cH/Zoa92p7+YMkMratUL7RoUjuxiPm2T3HyhlLJU+nCfUuIAgDgTc62RnZum+VNHIchzfwNCPIhexL1thBUjNcfu0cztJXYIZgCqnPjqsDI6Q4r9xjklS/71JK/17Iz4ZO8/7jm7f8WxteePmAfcxrQ6cG7J/FHFwNyF1vloAIpsWb8YriW2m7VzHTttLX4r9+NXB73gmXvtVstYc5ovOa78dPyinowQHe5oKdzXVhgcy2hhNEJuWHMzm5nAZiYIW87yBUeVRfn8tJ2X1eCfB5V/HlSCdRjdTEhrwW5t5onfMgUmzOo//em1c8INYb1iugMQzMGmxOHWDUvtm1cGj3zA1VLqvSgRup99R+ZvS2zXVQcra6rmZL35XL8no02RqoZ2qdN2vuwkX3aSryhULtxxLViH25sLd7dmw+Oo/48Qd+oTyfpEim/3RWYx//aYsviYUuxAZS0WHFUWHIVOkAfFstHNhFHNmEetRBGg0c8d+Owza158JumJtqGtAJiH3GnNWcadtdbsn4NuvV/tAG8KJUL3c23ZpY1pEdCxN4BqqWZW5mt/7PGA6+lRXbWMDWd4RqGSUch3l180JzbagNtbCONaCEPjmI5azQlpMAJDaixLjRU/6CduOMN/PK78WMDzLbxWwcpTfOUpeeomtAliI5qyEXEstYlHVBND9MFzUp6Zlfn6a6kzo4wRmvBYQ3ySY9dGa/bPgUPHM60Xb65NidDNao7sqj15GIB58J1gTOHKyxvfHt1mWO/YHipGJSnYVsrXFfHVp5XsM/ySQWvdw9jo5uy25kJiJLV/EtKoBIaUGJYSI77dF3vO8Z9P8KUnlNwSLnMcreIf7+Mf74NGkPtGsiFN2JAmQlIUC1CvkaaJOWZ638dnZ77+1pAXzTpT4OC7HLs2KtZK+5ZVpuRRqoV10ygRupll7fcAxKAwY6/BAN7f+nnniA4jWg9p/EicCrac5dlneGaRklXMq5wX/TREh6Fxwog4NrIZa2qi7EeI+uJDWXwoe667UFaDFYXK8kK+olApdkBSsOEM33CGz92hBIhIimKDYllKjJAUxUyN/grvFN7+ga7jZ2e9/kbqbF2rzrqWnWoL9lvWLTb1G3nZ3XW8AiVCd5LOnKzetxmAKeU2ptF+uTtdUqT7Ot/ZaAGUViOnRMk5wzec4VtKL6356UUkRbGhTYRb4lifCKahxk9CPFK4HhPaCBPagEPcVc5Xn+KrTitZxdzqRLWMdUV8XREHFI2AnuEsOZr1i2LJ0Y33jTY5LvGsvey1Te/N6v9U4OA7y7542bXimiE+qXECcDtKhO5kWf9D3ZpqyaNXFaw/UHb45UHPNegVHRJ2lPEtZ/mWUp5bwo9UXbqYk15EYiQbFMsGxQjJ0Yy2AyTEizCgexjrHsb+r6sgKdh8lq8v5uuLlA1nuNUJ15HNZ/m7AIA4E+sbyRIjWZ9I1iuCBTdkn11au5GnLcXz875+pNv9mohYqbTIuu57SoQEroZyAKbEYXnW4z8eWvbWkBfdvteu1Ym8cr69lO8o49tK+b4KLv1uBlKoHslRLDlaGBDDEiPV7FEghLiLRkByNEuOZs91FyQFO8q4q710wxmlyA4Ap2x8sY0vLgAABrQPZj0jWEJ43X9da4K70aM9H3x147vfH/plxMCxFYs/qTmyu/bkIV2z9m6+TKOgROg21g2/cGctGDvbO+nj7f96c/CcgJvea1fhKLDy3eV8dzl2lfOd5fxoFVd+t4SvRkB8KEuKYn0jWd8o1jHEa5vqCSH1oBFc0zDY1HgA4nErzznDc8/y3BK+o4xXy+DAwUp+sJIvPFr3keZm1j2MdQtD93AWH8raBd1s5wgDeybpiefWzY1sOaSt0azYrda1i8MeePamfzkVUCJ0Dy45bRt+BmDv1uvNfV/PSXkmNOC6Z5gqHMet/EAF9lbwfef4nnN83zluu9yyhBoBHYNZrwjWK4L1jmQ9wpiB/iYJ8VctzKyFmd3bBgCcCvac41vP8m2lfFsp332O18gAcMLKT1j5zyfqPqIT0CmEdQ5l8aGsUwi6hLLWgdedGrWC5sWUGdPX/O0PiUlN162y78wKvu0hMTTKrb9cY6DXp3vYt62Rq845RPZ2+LlpiU80DWxyzY9U1OJwJT9cxQ9U8IOVOFTJD1ZeOrzlvCAtuoaxbmGsRzjrEc66hlLmI4RchlZAQjhLCGePAACcCvZV8J1lPK+M7yrnO8u4a5fEWgV55dy1jZqLTkCbINYxhLUPRodg1j6YtQ9m19xSxqQ1zk15dsbqvz1m1MTYJWvWkuDbpzTYL9dQ6G16UxwOxzMzZ/z868+yvSpSK3aY1OPxhEldIi7da7fYgfwqfszCj1ThaBU/UsWPVPGz1ZctEgACRHQMYZ1DWHwYiw9FfChrGUitnYSQ66YV6obboG61R5y28z3nsLu8rtlpfwW3OAGgVsH+Cr6/4qKulxAd2gaxNkGsbRDaBLHWgax1EOKMF004jjCGz0x5esaxJ4s+216wOFd89uU+PRM//vtHkZGetZDWVVAivCkPPTZlJ9/b4vmuYHAUWdd8mnf/uOaLnMpxK45beYGFH7PgmPWK9TyXcD06hLCOwaxjCOsUwjqFoGUgEynvEUIaQBMja2LE8Lj/vWJOWPmBShyo4Psr+MEKfrASp+116bCiFltL+dbSi7KjTkCLQNbSjFaBrIWZtTAjRhOZ++nO0Ltat+4QBuDA9hOj7xizaX2OIHjHJC1KhNeHA2ccKLLzQhs/VuZYmbuxy8yurh8ZYs0hQ+Nuf/UbZejUK308XI+2waxNIGsbhHbBrF0Qaxfs/tFchBBSf83NrLn5otRocdZ13BypgqsF62gVd41NBVCr4HAlP1wJ4LcEuXdtbJvg4A5hrj+F9Yw6uu3o80t2JyV0bWJkcUZEGzx64jIlwktJCs5Wo9jBT9tR4uCFNpQ4+Ck7iu38pA1nHBdsIVZyMiTYeOFnDVEGoeCQAhg1aGlmLQPRMpC1CmQtzWgdyNoENezMHkIIcYtALXpGsJ4Xbzhql3C0ih/7raHrmAUFFn7cyitrwcpPmKMuSnQsTPvGmgKUdnb9UWCINiDOyGKNrIkRsUYWa0SsEdEG1sSIKIPKixv7XSKscuKMnZ+tRmk1P1uNYsdv/2PnZxw4W81LHPjd9ITLEyNbVhdZuKwwse7v0H7E+tyopCfu116zh5kQQryLUYOuYaxr2KXdNhW1+LlZ99lv1l540HLEqu0Xf35hR4WjyI4iO8cV3q9hesQYWKQBMQYWZUBkAIsMQIwREXoWEYCIABbRkC9V30+EJ+3s8XWs3CmVVvOyalzvBphh+t++vBhYExOaGFlTE2KNrLkJ0Qbt2+V//OSDT6Lu7agxaavyynSH+fNfTAygLEgI8RshOkwakfzVB3GFv5wIGRDNJaVsWf6Y+B7/ebrNGQcKbfy0jRfaUOyoa1RzNbNdUuUor0F5DUcFrpQpRYaIAITrWbieP9dRHBnqzl/B9xMhA19/hl3la0iUgUUGIDKAxRoRGcCiDYg1IsrAmhgRY2BX343v8V7tonNi/v3FfkdokzGpw15Y+3wApUFCiP9Z9sMv7330/g/fL0ZxwSNNwx4alcSAGANiDAwRlxn751RQ4uBFDhTbUVLNT9twtpqXVKPIzs86UFrDz16cKWWOMw6ccXAA/9fezYMJfT8RhuswvhUiDUK4vq5+7cp8EQGIDGDam2iY5rJkzf75lpaRY0bfFvHIHLdFTAgh3kar1U6f+tT0qU9VLplvWfNdzY718u1TxKArVty0AuJMLM7k+tNlEpvC4erDKq1GSbUrO6K0mpc6eHOj7N7gfT8RGjT4aoCi17t/X0vHzky5ohRA4KA0txdOCCHeyDTgNsu6xVyWbBuWBo2cdMPluMbXRBtcOfJ/mVKW5arf7S5wkzx4QKvHs67/CYA2poW+nZqb7hJCiOfQhEUbuiYDsG5Yyp211zzfE1AivEG1x/bVnjgIwDxorPduR0kIIW5nHjQOrg15dqxXO5Z6oUR4g6yZPwEQTEHG3kPVjoUQQjyIvnUXXbN2AKzrf1A7lnqhRHgj5Moyx64NAEzJo5iWJskTQshFzAPTADhP5dcc2a12LNemWiK0WCwzZ84cN27crFmzLBbLNY97FGvWEi5LTNSY+49ROxZCCPE4hoRBYmAoAGumF1QKVUuE6enp0dHR6enpUVFRixYtuuZxz8GdtbacXwEYuvUXQyLUDocQQjwO02hN/UcDcOzZJJeXqB3ONaiWCLOzs9PS0nQ6XVpaWlZW1jWPX0KWZelinLt5QO2V2LetUWxVcA2TIYQQcjnmAWOYRgtFsWYvUTuWa1BtHmFZWVl0dDSA6Ojo8vLyax6/kNPpfPHFFz/88MMLD86dO7dPnz6/P9lqtep0Op3ObT15NWu+ByA0aV1ljkRpqbuK9SWSJNlsNkm66u5TxN2u9O+FNBybzabRaPR62kHm8oROifLuDdac5c4+o+Cm4RSyLFssFlmu75z6kJAQjeYamU61RMg5Z4y5/kdRlGsev5BWq33ppZcmTarXVE29Xq/T6dz1pNYc2V1dchJAyJC7jBHULnp5kiQFBASEhISoHYjfiaBnsnEFBARoNBpaWPFKaofdU7J7A3dYDcd2mpJHuaVMWZZ1Ol1oqDsXG1WtaTQ8PLykpARAaWnphf96r3TcQ1gzfwQgmEMMPVLUjoUQQjyarnl7XctOcL05G6v36gaolgiTkpIyMjI45xkZGcnJyQDy8vIue9xzyOdKHHs2ATD3H8007l+zjRBCfEzdPIriEzVH8tSO5YpUS4STJk3Kz8+fMGFCQUHBxIkTAUyfPv2yxz2HdcMvUGQmalyjoQghhFydofsAMSgMgDXTc4fMqNZHaDabX3nllQuPrFy58rLHPcT/Zk389vdKCCHk6pioMSWPqlr+tWPvJqmsWBMeo3ZEl0Ery9SXffu6ulkTKberHQshhHgNU/JoJmqgKLaNv6gdy+VRIqwva9ZPALRN2+padVY7FkII8RpiUKhrdKFtU4Zn7kdBibBeavL3OguPAggcSFsPEkLI9XE1pCm2Kvv2tWrHchmUCOvFlr0EgGAKMiQMUjsWQgjxMrqWner2o8jyxCEzlAivTa4qd+RtAGDqN5L2miCEkBtgSrkdgLPwaO2xvWrHcilKhNdm27iMyxIEwV0rIxBCiL8x9kwVzCEArFk/qx3LpSgRXgOXpbpZE12SNGHRaodDCCFeiWm0pqQRABx52XKVZ62LS4nwGqp3bZQry0CzJggh5OaYk0dDEM7XLjwHJcJrcHXtaqKb69t1VzsWQgjxYmJYlKFLXwC2Db9w2YN2p6FEeDXOooKa/D0AzP1HgzG1wyGEEO9mGnAbALmqvHp3jtqx/A8lwquxZS8FwPQGY+IwtWMhhBCvF9A+QRPVFIA124OGzFAivCJe47BtXQ3A1GeoEGBUOxxCCPF+jJn7jwZQc2SXs6hA5WB+Q4nwimy5K3iNA4Cp/xi1YyGEEB9hTBzGdAEAbBs8ZelRSoRXwLl1wy8A9G26amNbqh0NIYT4CMFgNvYaDMC+dbWrsqE6SoSXV3M4TzpzAoBpAFUHCSHEncwDbgOgVNtd3U+qo0R4edaNv8C1aHq3/mrHQgghPkUb11rXshN+G5CoOkqElyFXlrmG9pr63spE1fYuJoQQX+WqFDqLCmry1V96lBLhZdhyfq1bXLTfSLVjIYQQH2RIGOhaetS2Qf1KISXC31Fk26blAAxd+ophUWpHQwghPoiJGlPf4QAcedmKtULdYCgRXsqxJ1euKAXNmiCEkIZkSh4FxrjktG3KUDcSSoSXctXTNRGxAR16qh0LIYT4LE14TEDH3nANTlQUFSOhRHgRqfR09aEdAEzJtLgoIYQ0LPOA0QDk8pLqA9tUDIMS4UVsG5eBc6bVuRqvCSGENJyAToliaBQA20Y1V5mhRPg/XHLaNq8EYOiRIpiC1A6HEEJ83W+D8x37NsvlJapFodaFPZBjZ5ZirQRgTh6ldiyEEOIXTEm3MlEDRbFtUm23XkqE/+Oqm2tjW+padVE7FkII8QtiUGhA134AbJsy1NqtlxJhHeeZEzXH9gEw9R+tdiyEEOJHXI1wclV59Z5NqgRAibCOLXspOGe6AGPvIWrHQgghfkTfrocmMg6AVaWNmSgRAgCvrbZvWQ3A2DNVCDCpHQ4hhPgTxkzJowDUHN4plZ5u/OtTIgQA+/b1SrUNgKk/DZMhhJDGZkocxrQ6cG7LUWHIDCVCwDV9ENA1a6dr1l7tWAghxO8IpiDXnne23BVccjb21Rv5eh7Ieepo7YmDcC18RwghRA2uN7BirXTs2tDIl6ZECOvGZQCY3mDsmap2LIQQ4qf0bbpqY1oAaPzWUX9PhLzG4di2FoCx9xCmN6gdDiGE+C9Tv1sB1BzZJZUUNuZ1/T0R2nesV6rtAMz9qF2UEELUZOxziypDZvw9EdYNk2neQdu0jdqxEEKIXxOMgYYeKQBsm1c25pAZv06EzlNHa08cAmBKHql2LIQQQmDqNwqAYqtqzCEzfp0IbRt/BSAEGI0Jg9SOhRBCCPStu2hjmqNxh8z4byLktdX2bWsAGHoNpmEyhBDiIUxJvw2ZOXuqca7ov4nwgmEy1C5KCCGeovGHzPhvInS1i+qatdM2bat2LIQQQur8b5WZzasaZ2MmP02EzqKC2uMHAJioOkgIIR7G1TqqWCuq9+Q0wuXUSYQWi2XmzJnjxo2bNWuWxWK58EdZWVlTpkwZO3bstGnTCgsbak6la9YE0wUYaDUZQgjxMPq23VwbM9lyljfC5dRJhOnp6dHR0enp6VFRUYsWLTp/vKioaN68edOnT09PT+/Xr9+8efMa4urcWesaJmNMGCQEGBviEoQQQm4cY67muuqD26Wy4oa+mjqJMDs7Oy0tTafTpaWlZWVlnT9eVFQ0ZMiQjh076vX64cOHnzx5siGu7sjLVuxW0PRBQgjxVKa+w5lGC87tuRkNfS1NQ1/gssrKyqKjowFER0eXl5efP96zZ8+ePXsCkGX5yy+/TE1NvezHJUl6//33f/zxxwsPPvnkk127dv39yVarVavV6vX680eqs38GIEQ1swVF286dc8PvQy4mSZLNZuOcqx2If6moqBBFUe0o/IvNZtNoNBe+XogbCe16yvtzLTnL5b5jINRV22RZvqRD7eqCgoKu+e+i8RLh5MmTXX1+K1eu5JwzxgBwzhVFueTMrVu3zp8/v3fv3pMnT75sUaIo3n333bfffvuFB+Pi4ozGy7RzMsZ0Ot35J1U6e8p2/AAAc7+RpqCgm/61yGVIkiQIQhDd3sZVW1tL97yRCYKg0WgCAgLUDsQ36VPGlO/P5ZZz+tOH9J0TXQdlWQZQ/0ddEK7d8Nl4ifCLL744///h4eElJSVNmzYtLS2NiIg4f5xz/vnnn+/fv3/mzJlNmza9UlGMsdjY2I4dO9bnuuJvXH+0blkJzplWZ+47TKCvzw2Dc37hPSeNg+5547vk9ULcy9ipd2VYlFxe4ti8wti13/njbr/n6vQRJiUlZWRkcM4zMjKSk5MB5OXlAdi1a1dOTs7cuXPDw8MdDofD4XDzhRXZvmU1AEO3/oIx0M2FE0IIcSPGTInDATj2bpYryxruOuokwkmTJuXn50+YMKGgoGDixIkApk+fDiAvL6+wsHDcuHG3/8a913XsyZWrygGYkka4t2RCCCFuZ0oaAUGAItu3rGq4q6gzWMZsNr/yyisXHlm5ciWABx544IEHHmi469o2LQegiWiib9u94a5CCCHELcSQyIAOvar3b7FtyggcOh6MNcRV/GhlGbmyrPrAVri+YjTM3SSEEOJergY8qfR0zdHdDXQJP0qEttwVUBQIorHPLWrHQgghpF4C4pMEcwgacpUZv0mEv83KDOjUWwwOVzsaQggh9cJEjSnxFgCOXXVrobidvyTCmsN5rnV6aJgMIYR4F1PSrWCMO2vt29c1RPn+kghtuRkAxMDQgN9mZRJCCPEKmqimupad8NuAR7fzi0So2K2OXRsAGPsMZaI6A2UJIYTcMFdjnrPwiHQ63+2F+0UirMnL5M5aAMa+w9WOhRBCyHUzJgxiegMA++aVbi/cLxJh9ZZVAHStumijm6sdCyGEkOvGdAHGHgMBOLatheR0b+G+nwjlomPSqaMATElUHSSEEG/lah1V7BbpwBb3luz7ibB2+1oATG9wfZsghBDijXStOmuimwOQdq53b8k+ngi5LDl3ZQMwJgx0tS8TQgjxUq4JhXL+brm8xI3F+noidNbqk0YKIZEmGiZDCCFezthnmBgUqu17K9y6DZOPzyUQAoz6wXcHDr9PRztnEkKIlxODQqNmfVVltYrBoW4s1sdrhHVoiW1CCPEN9dhx/rqLdHuJhBBCiBehREgIIcSvUSIkhBDi13w/ES5YsGDr1q1qR+FfTpw48d5776kdhd+ZMWOG2iH4nW+//TYnJ0ftKPxLcXHxW2+95Xudg2IAAASRSURBVN4yfXzUKID8/PzY2Fi1o/AvNptt//79akfhd7Zt26Z2CH7n+PHjRqNR7Sj8i91u37t3r3vL9P0aISGEEHIVlAgJIYT4NcY5VzuG67Zt27YHH3xQr9fX52SbzabRaOp5MnELWZZtNltQUJDagfiX8vLysLAwtaPwL/R6aXyyLFut1uDg4Hqev2DBgvbt21/9HK9MhIQQQoi7UNMoIYQQv0aJkBBCiF+jREgIIcSvUSIkhBDi13xzQr0sy1OmTPniiy/OH7FYLG+88cbevXvj4+OfeeaZwMBAFcPzPVe5vX/961/PT64fPXr01KlTVYrRp1zphtNz3kDoCVdRI7zPfbBGuHjx4ieffLKwsPDCg+np6dHR0enp6VFRUYsWLVIrNl91pdvLOS8sLExPT1+yZMmSJUsef/xxFYP0JVe64fScNxB6wtXSOO9zH0yErVu3vv/++y85mJ2dnZaWptPp0tLSsrKyVAnMh13p9paVlcmy/MILL4wfP/61116z2WwqBulLrnTD6TlvIPSEq6Vx3uc+mAh79OiRlJR0ycGysrLo6GgA0dHR5eXlasTly650e8vLy9u1a/fUU0998803JpPp448/Vi9Gn3KlG07PeQOhJ1wtjfM+95E+wsmTJ7vqzitXrrzsCZxzxpjrfxRFadTgfNSF9/xKt7d9+/bn14mfMmXKlClTVAnV91zphtNz3kDoCfcobn/OfSQRXtiPelnh4eElJSVNmzYtLS2NiIhonKh824X3/Eq399ChQ06ns0uXLgC0Wq1Wq1UhUF90pRtOz3kDoSfco7j9OffBptFL5OXlAUhKSsrIyOCcZ2RkJCcnqx2Ur/n97XXd9urq6jlz5hw/ftzpdH799df9+/dXO1IfcaUbTs95A6En3EM00HPu+4lw+vTpACZNmpSfnz9hwoSCgoKJEyeqHZSv+f3tdd32rl27Tpw4cdasWffee6/FYqGGI3e50g2n57yB0BPuIRroOadFtwkhhPg1368REkIIIVdBiZAQQohfo0RICCHEr1EiJIQQ4tcoERJCCPFrlAgJIYT4NUqEhBBC/BolQkIIIX6NEiEhhBC/RomQEEKIX6NESIgX27Nnz7Bhw9atW+f64/Hjx0eOHLlkyRJVgyLEy1AiJMSLxcfHp6WlffTRR1VVVYqivPvuu/Hx8WPGjFE7LkK8CS26TYh3czgcjzzySI8ePTp06PDZZ5/Nnz/ftXk3IaSeKBES4vW2b98+Y8YMnU73+OOPjx49Wu1wCPEy1DRKiNdLSEho0aIFYyw1NVXtWAjxPpQICfF6GRkZxcXFer3+iy++UDsWQrwPJUJCvNvZs2c/+eSTyZMnP/bYYz/99NPevXvVjogQL0OJkBAvxjl/55134uLixo4dO3To0ISEhHfeeae2tlbtuAjxJpQICfFiy5cv37Zt27Rp00RRZIxNnTq1qKhowYIFasdFiDehUaOEEEL8GtUICSGE+DVKhIQQQvwaJUJCCCF+jRIhIYQQv0aJkBBCiF+jREgIIcSvUSIkhBDi1ygREkII8WuUCAkhhPi1/wdWTm7sziIhPwAAAABJRU5ErkJggg==",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip7200\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip7200)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip7201\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip7200)\" d=\"\nM243.864 1425.62 L2352.76 1425.62 L2352.76 47.2441 L243.864 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip7202\">\n    <rect x=\"243\" y=\"47\" width=\"2110\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  303.55,1425.62 303.55,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  800.93,1425.62 800.93,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1298.31,1425.62 1298.31,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1795.69,1425.62 1795.69,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2293.07,1425.62 2293.07,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,1318.99 2352.76,1318.99 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,1113.53 2352.76,1113.53 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,908.078 2352.76,908.078 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,702.622 2352.76,702.622 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,497.166 2352.76,497.166 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,291.711 2352.76,291.711 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  243.864,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,1425.62 243.864,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  303.55,1425.62 303.55,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  800.93,1425.62 800.93,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1298.31,1425.62 1298.31,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1795.69,1425.62 1795.69,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2293.07,1425.62 2293.07,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,1318.99 269.171,1318.99 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,1113.53 269.171,1113.53 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,908.078 269.171,908.078 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,702.622 269.171,702.622 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,497.166 269.171,497.166 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,291.711 269.171,291.711 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  243.864,86.2547 269.171,86.2547 \n  \"/>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 303.55, 1479.62)\" x=\"303.55\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 800.93, 1479.62)\" x=\"800.93\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1298.31, 1479.62)\" x=\"1298.31\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.69, 1479.62)\" x=\"1795.69\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.07, 1479.62)\" x=\"2293.07\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 1336.49)\" x=\"219.864\" y=\"1336.49\">-0.2</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 1131.03)\" x=\"219.864\" y=\"1131.03\">0.0</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 925.578)\" x=\"219.864\" y=\"925.578\">0.2</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 720.122)\" x=\"219.864\" y=\"720.122\">0.4</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 514.666)\" x=\"219.864\" y=\"514.666\">0.6</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 309.211)\" x=\"219.864\" y=\"309.211\">0.8</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 103.755)\" x=\"219.864\" y=\"103.755\">1.0</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1298.31, 1559.48)\" x=\"1298.31\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  303.55,1074.02 308.524,1073.64 313.497,1073.25 318.471,1072.86 323.445,1072.46 328.419,1072.05 333.393,1071.64 338.366,1071.23 343.34,1070.8 348.314,1070.37 \n  353.288,1069.94 358.262,1069.49 363.235,1069.04 368.209,1068.59 373.183,1068.12 378.157,1067.65 383.131,1067.18 388.104,1066.69 393.078,1066.2 398.052,1065.7 \n  403.026,1065.19 408,1064.68 412.973,1064.15 417.947,1063.62 422.921,1063.08 427.895,1062.53 432.869,1061.97 437.842,1061.4 442.816,1060.83 447.79,1060.24 \n  452.764,1059.64 457.738,1059.04 462.711,1058.42 467.685,1057.8 472.659,1057.16 477.633,1056.51 482.607,1055.85 487.58,1055.18 492.554,1054.5 497.528,1053.81 \n  502.502,1053.11 507.476,1052.39 512.449,1051.66 517.423,1050.92 522.397,1050.16 527.371,1049.39 532.345,1048.61 537.318,1047.81 542.292,1047 547.266,1046.17 \n  552.24,1045.33 557.214,1044.48 562.187,1043.6 567.161,1042.71 572.135,1041.81 577.109,1040.89 582.083,1039.95 587.056,1038.99 592.03,1038.01 597.004,1037.02 \n  601.978,1036 606.952,1034.97 611.925,1033.92 616.899,1032.84 621.873,1031.74 626.847,1030.63 631.821,1029.49 636.794,1028.32 641.768,1027.14 646.742,1025.92 \n  651.716,1024.69 656.69,1023.43 661.663,1022.14 666.637,1020.82 671.611,1019.48 676.585,1018.11 681.559,1016.71 686.532,1015.28 691.506,1013.82 696.48,1012.33 \n  701.454,1010.81 706.428,1009.25 711.401,1007.66 716.375,1006.03 721.349,1004.36 726.323,1002.66 731.297,1000.92 736.27,999.145 741.244,997.326 746.218,995.464 \n  751.192,993.56 756.166,991.611 761.14,989.616 766.113,987.574 771.087,985.484 776.061,983.344 781.035,981.152 786.009,978.908 790.982,976.609 795.956,974.254 \n  800.93,971.84 805.904,969.367 810.878,966.832 815.851,964.234 820.825,961.569 825.799,958.838 830.773,956.036 835.747,953.162 840.72,950.214 845.694,947.19 \n  850.668,944.086 855.642,940.9 860.616,937.63 865.589,934.273 870.563,930.825 875.537,927.285 880.511,923.649 885.485,919.913 890.458,916.075 895.432,912.131 \n  900.406,908.078 905.38,903.912 910.354,899.629 915.327,895.225 920.301,890.697 925.275,886.039 930.249,881.249 935.223,876.321 940.196,871.251 945.17,866.034 \n  950.144,860.665 955.118,855.139 960.092,849.452 965.065,843.597 970.039,837.569 975.013,831.363 979.987,824.972 984.961,818.392 989.934,811.615 994.908,804.636 \n  999.882,797.448 1004.86,790.045 1009.83,782.42 1014.8,774.568 1019.78,766.48 1024.75,758.151 1029.72,749.573 1034.7,740.74 1039.67,731.646 1044.65,722.283 \n  1049.62,712.644 1054.59,702.725 1059.57,692.518 1064.54,682.017 1069.52,671.218 1074.49,660.114 1079.46,648.702 1084.44,636.976 1089.41,624.935 1094.38,612.575 \n  1099.36,599.894 1104.33,586.893 1109.31,573.571 1114.28,559.931 1119.25,545.976 1124.23,531.712 1129.2,517.145 1134.17,502.286 1139.15,487.144 1144.12,471.735 \n  1149.1,456.075 1154.07,440.184 1159.04,424.085 1164.02,407.803 1168.99,391.369 1173.97,374.816 1178.94,358.182 1183.91,341.506 1188.89,324.836 1193.86,308.219 \n  1198.83,291.711 1203.81,275.366 1208.78,259.248 1213.76,243.419 1218.73,227.948 1223.7,212.906 1228.68,198.363 1233.65,184.395 1238.62,171.076 1243.6,158.481 \n  1248.57,146.683 1253.55,135.755 1258.52,125.765 1263.49,116.78 1268.47,108.86 1273.44,102.059 1278.41,96.4258 1283.39,92.0008 1288.36,88.8165 1293.34,86.8963 \n  1298.31,86.2547 1303.28,86.8963 1308.26,88.8165 1313.23,92.0008 1318.21,96.4258 1323.18,102.059 1328.15,108.86 1333.13,116.78 1338.1,125.765 1343.07,135.755 \n  1348.05,146.683 1353.02,158.481 1358,171.076 1362.97,184.395 1367.94,198.363 1372.92,212.906 1377.89,227.948 1382.86,243.419 1387.84,259.248 1392.81,275.366 \n  1397.79,291.711 1402.76,308.219 1407.73,324.836 1412.71,341.506 1417.68,358.182 1422.66,374.816 1427.63,391.369 1432.6,407.803 1437.58,424.085 1442.55,440.184 \n  1447.52,456.075 1452.5,471.735 1457.47,487.144 1462.45,502.286 1467.42,517.145 1472.39,531.712 1477.37,545.976 1482.34,559.931 1487.31,573.571 1492.29,586.893 \n  1497.26,599.894 1502.24,612.575 1507.21,624.935 1512.18,636.976 1517.16,648.702 1522.13,660.114 1527.1,671.218 1532.08,682.017 1537.05,692.518 1542.03,702.725 \n  1547,712.644 1551.97,722.283 1556.95,731.646 1561.92,740.74 1566.9,749.573 1571.87,758.151 1576.84,766.48 1581.82,774.568 1586.79,782.42 1591.76,790.045 \n  1596.74,797.448 1601.71,804.636 1606.69,811.615 1611.66,818.392 1616.63,824.972 1621.61,831.363 1626.58,837.569 1631.55,843.597 1636.53,849.452 1641.5,855.139 \n  1646.48,860.665 1651.45,866.034 1656.42,871.251 1661.4,876.321 1666.37,881.249 1671.35,886.039 1676.32,890.697 1681.29,895.225 1686.27,899.629 1691.24,903.912 \n  1696.21,908.078 1701.19,912.131 1706.16,916.075 1711.14,919.913 1716.11,923.649 1721.08,927.285 1726.06,930.825 1731.03,934.273 1736,937.63 1740.98,940.9 \n  1745.95,944.086 1750.93,947.19 1755.9,950.214 1760.87,953.162 1765.85,956.036 1770.82,958.838 1775.79,961.569 1780.77,964.234 1785.74,966.832 1790.72,969.367 \n  1795.69,971.84 1800.66,974.254 1805.64,976.609 1810.61,978.908 1815.59,981.152 1820.56,983.344 1825.53,985.484 1830.51,987.574 1835.48,989.616 1840.45,991.611 \n  1845.43,993.56 1850.4,995.464 1855.38,997.326 1860.35,999.145 1865.32,1000.92 1870.3,1002.66 1875.27,1004.36 1880.24,1006.03 1885.22,1007.66 1890.19,1009.25 \n  1895.17,1010.81 1900.14,1012.33 1905.11,1013.82 1910.09,1015.28 1915.06,1016.71 1920.04,1018.11 1925.01,1019.48 1929.98,1020.82 1934.96,1022.14 1939.93,1023.43 \n  1944.9,1024.69 1949.88,1025.92 1954.85,1027.14 1959.83,1028.32 1964.8,1029.49 1969.77,1030.63 1974.75,1031.74 1979.72,1032.84 1984.69,1033.92 1989.67,1034.97 \n  1994.64,1036 1999.62,1037.02 2004.59,1038.01 2009.56,1038.99 2014.54,1039.95 2019.51,1040.89 2024.49,1041.81 2029.46,1042.71 2034.43,1043.6 2039.41,1044.48 \n  2044.38,1045.33 2049.35,1046.17 2054.33,1047 2059.3,1047.81 2064.28,1048.61 2069.25,1049.39 2074.22,1050.16 2079.2,1050.92 2084.17,1051.66 2089.14,1052.39 \n  2094.12,1053.11 2099.09,1053.81 2104.07,1054.5 2109.04,1055.18 2114.01,1055.85 2118.99,1056.51 2123.96,1057.16 2128.93,1057.8 2133.91,1058.42 2138.88,1059.04 \n  2143.86,1059.64 2148.83,1060.24 2153.8,1060.83 2158.78,1061.4 2163.75,1061.97 2168.73,1062.53 2173.7,1063.08 2178.67,1063.62 2183.65,1064.15 2188.62,1064.68 \n  2193.59,1065.19 2198.57,1065.7 2203.54,1066.2 2208.52,1066.69 2213.49,1067.18 2218.46,1067.65 2223.44,1068.12 2228.41,1068.59 2233.38,1069.04 2238.36,1069.49 \n  2243.33,1069.94 2248.31,1070.37 2253.28,1070.8 2258.25,1071.23 2263.23,1071.64 2268.2,1072.05 2273.18,1072.46 2278.15,1072.86 2283.12,1073.25 2288.1,1073.64 \n  2293.07,1074.02 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  303.55,1386.61 308.524,1373.64 313.497,1360.73 318.471,1347.89 323.445,1335.11 328.419,1322.4 333.393,1309.76 338.366,1297.18 343.34,1284.66 348.314,1272.21 \n  353.288,1259.82 358.262,1247.5 363.235,1235.25 368.209,1223.06 373.183,1210.93 378.157,1198.87 383.131,1186.87 388.104,1174.94 393.078,1163.08 398.052,1151.28 \n  403.026,1139.54 408,1127.87 412.973,1116.26 417.947,1104.72 422.921,1093.25 427.895,1081.84 432.869,1070.49 437.842,1059.21 442.816,1048 447.79,1036.85 \n  452.764,1025.76 457.738,1014.74 462.711,1003.78 467.685,992.894 472.659,982.068 477.633,971.308 482.607,960.612 487.58,949.982 492.554,939.417 497.528,928.916 \n  502.502,918.481 507.476,908.111 512.449,897.805 517.423,887.565 522.397,877.39 527.371,867.279 532.345,857.234 537.318,847.254 542.292,837.339 547.266,827.489 \n  552.24,817.703 557.214,807.983 562.187,798.328 567.161,788.738 572.135,779.213 577.109,769.753 582.083,760.358 587.056,751.028 592.03,741.763 597.004,732.563 \n  601.978,723.428 606.952,714.358 611.925,705.353 616.899,696.413 621.873,687.538 626.847,678.728 631.821,669.983 636.794,661.303 641.768,652.689 646.742,644.139 \n  651.716,635.654 656.69,627.234 661.663,618.879 666.637,610.59 671.611,602.365 676.585,594.205 681.559,586.111 686.532,578.081 691.506,570.116 696.48,562.217 \n  701.454,554.382 706.428,546.612 711.401,538.908 716.375,531.268 721.349,523.694 726.323,516.184 731.297,508.739 736.27,501.36 741.244,494.045 746.218,486.796 \n  751.192,479.612 756.166,472.492 761.14,465.438 766.113,458.448 771.087,451.524 776.061,444.665 781.035,437.87 786.009,431.141 790.982,424.477 795.956,417.877 \n  800.93,411.343 805.904,404.874 810.878,398.47 815.851,392.13 820.825,385.856 825.799,379.647 830.773,373.503 835.747,367.424 840.72,361.409 845.694,355.46 \n  850.668,349.576 855.642,343.757 860.616,338.003 865.589,332.314 870.563,326.69 875.537,321.131 880.511,315.637 885.485,310.208 890.458,304.844 895.432,299.545 \n  900.406,294.311 905.38,289.142 910.354,284.038 915.327,279 920.301,274.026 925.275,269.117 930.249,264.273 935.223,259.494 940.196,254.78 945.17,250.132 \n  950.144,245.548 955.118,241.029 960.092,236.576 965.065,232.187 970.039,227.863 975.013,223.605 979.987,219.411 984.961,215.282 989.934,211.219 994.908,207.22 \n  999.882,203.286 1004.86,199.418 1009.83,195.614 1014.8,191.876 1019.78,188.202 1024.75,184.594 1029.72,181.05 1034.7,177.572 1039.67,174.159 1044.65,170.81 \n  1049.62,167.527 1054.59,164.308 1059.57,161.155 1064.54,158.067 1069.52,155.043 1074.49,152.085 1079.46,149.192 1084.44,146.364 1089.41,143.6 1094.38,140.902 \n  1099.36,138.269 1104.33,135.701 1109.31,133.197 1114.28,130.759 1119.25,128.386 1124.23,126.078 1129.2,123.835 1134.17,121.657 1139.15,119.544 1144.12,117.496 \n  1149.1,115.513 1154.07,113.595 1159.04,111.742 1164.02,109.954 1168.99,108.231 1173.97,106.573 1178.94,104.98 1183.91,103.452 1188.89,101.989 1193.86,100.591 \n  1198.83,99.2582 1203.81,97.9904 1208.78,96.7876 1213.76,95.6497 1218.73,94.577 1223.7,93.5692 1228.68,92.6264 1233.65,91.7487 1238.62,90.936 1243.6,90.1883 \n  1248.57,89.5056 1253.55,88.8879 1258.52,88.3353 1263.49,87.8476 1268.47,87.425 1273.44,87.0674 1278.41,86.7748 1283.39,86.5473 1288.36,86.3847 1293.34,86.2872 \n  1298.31,86.2547 1303.28,86.2872 1308.26,86.3847 1313.23,86.5473 1318.21,86.7748 1323.18,87.0674 1328.15,87.425 1333.13,87.8476 1338.1,88.3353 1343.07,88.8879 \n  1348.05,89.5056 1353.02,90.1883 1358,90.936 1362.97,91.7487 1367.94,92.6264 1372.92,93.5692 1377.89,94.577 1382.86,95.6497 1387.84,96.7876 1392.81,97.9904 \n  1397.79,99.2582 1402.76,100.591 1407.73,101.989 1412.71,103.452 1417.68,104.98 1422.66,106.573 1427.63,108.231 1432.6,109.954 1437.58,111.742 1442.55,113.595 \n  1447.52,115.513 1452.5,117.496 1457.47,119.544 1462.45,121.657 1467.42,123.835 1472.39,126.078 1477.37,128.386 1482.34,130.759 1487.31,133.197 1492.29,135.701 \n  1497.26,138.269 1502.24,140.902 1507.21,143.6 1512.18,146.364 1517.16,149.192 1522.13,152.085 1527.1,155.043 1532.08,158.067 1537.05,161.155 1542.03,164.308 \n  1547,167.527 1551.97,170.81 1556.95,174.159 1561.92,177.572 1566.9,181.05 1571.87,184.594 1576.84,188.202 1581.82,191.876 1586.79,195.614 1591.76,199.418 \n  1596.74,203.286 1601.71,207.22 1606.69,211.219 1611.66,215.282 1616.63,219.411 1621.61,223.605 1626.58,227.863 1631.55,232.187 1636.53,236.576 1641.5,241.029 \n  1646.48,245.548 1651.45,250.132 1656.42,254.78 1661.4,259.494 1666.37,264.273 1671.35,269.117 1676.32,274.026 1681.29,279 1686.27,284.038 1691.24,289.142 \n  1696.21,294.311 1701.19,299.545 1706.16,304.844 1711.14,310.208 1716.11,315.637 1721.08,321.131 1726.06,326.69 1731.03,332.314 1736,338.003 1740.98,343.757 \n  1745.95,349.576 1750.93,355.46 1755.9,361.409 1760.87,367.424 1765.85,373.503 1770.82,379.647 1775.79,385.856 1780.77,392.13 1785.74,398.47 1790.72,404.874 \n  1795.69,411.343 1800.66,417.877 1805.64,424.477 1810.61,431.141 1815.59,437.87 1820.56,444.665 1825.53,451.524 1830.51,458.448 1835.48,465.438 1840.45,472.492 \n  1845.43,479.612 1850.4,486.796 1855.38,494.045 1860.35,501.36 1865.32,508.739 1870.3,516.184 1875.27,523.694 1880.24,531.268 1885.22,538.908 1890.19,546.612 \n  1895.17,554.382 1900.14,562.217 1905.11,570.116 1910.09,578.081 1915.06,586.111 1920.04,594.205 1925.01,602.365 1929.98,610.59 1934.96,618.879 1939.93,627.234 \n  1944.9,635.654 1949.88,644.139 1954.85,652.689 1959.83,661.303 1964.8,669.983 1969.77,678.728 1974.75,687.538 1979.72,696.413 1984.69,705.353 1989.67,714.358 \n  1994.64,723.428 1999.62,732.563 2004.59,741.763 2009.56,751.028 2014.54,760.358 2019.51,769.753 2024.49,779.213 2029.46,788.738 2034.43,798.328 2039.41,807.983 \n  2044.38,817.703 2049.35,827.489 2054.33,837.339 2059.3,847.254 2064.28,857.234 2069.25,867.279 2074.22,877.39 2079.2,887.565 2084.17,897.805 2089.14,908.111 \n  2094.12,918.481 2099.09,928.916 2104.07,939.417 2109.04,949.982 2114.01,960.612 2118.99,971.308 2123.96,982.068 2128.93,992.894 2133.91,1003.78 2138.88,1014.74 \n  2143.86,1025.76 2148.83,1036.85 2153.8,1048 2158.78,1059.21 2163.75,1070.49 2168.73,1081.84 2173.7,1093.25 2178.67,1104.72 2183.65,1116.26 2188.62,1127.87 \n  2193.59,1139.54 2198.57,1151.28 2203.54,1163.08 2208.52,1174.94 2213.49,1186.87 2218.46,1198.87 2223.44,1210.93 2228.41,1223.06 2233.38,1235.25 2238.36,1247.5 \n  2243.33,1259.82 2248.31,1272.21 2253.28,1284.66 2258.25,1297.18 2263.23,1309.76 2268.2,1322.4 2273.18,1335.11 2278.15,1347.89 2283.12,1360.73 2288.1,1373.64 \n  2293.07,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip7202)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  2159.8,1061.52 1298.31,86.2547 436.822,1061.52 \n  \"/>\n<circle clip-path=\"url(#clip7202)\" cx=\"2159.8\" cy=\"1061.52\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7202)\" cx=\"1298.31\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7202)\" cx=\"436.822\" cy=\"1061.52\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip7200)\" d=\"\nM1381.28 372.684 L2280.76 372.684 L2280.76 130.764 L1381.28 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1381.28,372.684 2280.76,372.684 2280.76,130.764 1381.28,130.764 1381.28,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1405.28,191.244 1549.28,191.244 \n  \"/>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 208.744)\" x=\"1573.28\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1405.28,251.724 1549.28,251.724 \n  \"/>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 269.224)\" x=\"1573.28\" y=\"269.224\">Polynomial interpolation 2, n=2</text>\n</g>\n<polyline clip-path=\"url(#clip7200)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1405.28,312.204 1549.28,312.204 \n  \"/>\n<circle clip-path=\"url(#clip7200)\" cx=\"1489.28\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip7200)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 329.704)\" x=\"1573.28\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip7500\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip7500)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip7501\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip7500)\" d=\"\n",
       "M243.864 1425.62 L2352.76 1425.62 L2352.76 47.2441 L243.864 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip7502\">\n",
       "    <rect x=\"243\" y=\"47\" width=\"2110\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  303.55,1425.62 303.55,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  800.93,1425.62 800.93,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1298.31,1425.62 1298.31,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1795.69,1425.62 1795.69,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2293.07,1425.62 2293.07,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,1318.99 2352.76,1318.99 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,1113.53 2352.76,1113.53 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,908.078 2352.76,908.078 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,702.622 2352.76,702.622 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,497.166 2352.76,497.166 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,291.711 2352.76,291.711 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  243.864,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,1425.62 243.864,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  303.55,1425.62 303.55,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  800.93,1425.62 800.93,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1298.31,1425.62 1298.31,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1795.69,1425.62 1795.69,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2293.07,1425.62 2293.07,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,1318.99 269.171,1318.99 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,1113.53 269.171,1113.53 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,908.078 269.171,908.078 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,702.622 269.171,702.622 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,497.166 269.171,497.166 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,291.711 269.171,291.711 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  243.864,86.2547 269.171,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 303.55, 1479.62)\" x=\"303.55\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 800.93, 1479.62)\" x=\"800.93\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1298.31, 1479.62)\" x=\"1298.31\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.69, 1479.62)\" x=\"1795.69\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.07, 1479.62)\" x=\"2293.07\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 1336.49)\" x=\"219.864\" y=\"1336.49\">-0.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 1131.03)\" x=\"219.864\" y=\"1131.03\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 925.578)\" x=\"219.864\" y=\"925.578\">0.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 720.122)\" x=\"219.864\" y=\"720.122\">0.4</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 514.666)\" x=\"219.864\" y=\"514.666\">0.6</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 309.211)\" x=\"219.864\" y=\"309.211\">0.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 219.864, 103.755)\" x=\"219.864\" y=\"103.755\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1298.31, 1559.48)\" x=\"1298.31\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  303.55,1074.02 308.524,1073.64 313.497,1073.25 318.471,1072.86 323.445,1072.46 328.419,1072.05 333.393,1071.64 338.366,1071.23 343.34,1070.8 348.314,1070.37 \n",
       "  353.288,1069.94 358.262,1069.49 363.235,1069.04 368.209,1068.59 373.183,1068.12 378.157,1067.65 383.131,1067.18 388.104,1066.69 393.078,1066.2 398.052,1065.7 \n",
       "  403.026,1065.19 408,1064.68 412.973,1064.15 417.947,1063.62 422.921,1063.08 427.895,1062.53 432.869,1061.97 437.842,1061.4 442.816,1060.83 447.79,1060.24 \n",
       "  452.764,1059.64 457.738,1059.04 462.711,1058.42 467.685,1057.8 472.659,1057.16 477.633,1056.51 482.607,1055.85 487.58,1055.18 492.554,1054.5 497.528,1053.81 \n",
       "  502.502,1053.11 507.476,1052.39 512.449,1051.66 517.423,1050.92 522.397,1050.16 527.371,1049.39 532.345,1048.61 537.318,1047.81 542.292,1047 547.266,1046.17 \n",
       "  552.24,1045.33 557.214,1044.48 562.187,1043.6 567.161,1042.71 572.135,1041.81 577.109,1040.89 582.083,1039.95 587.056,1038.99 592.03,1038.01 597.004,1037.02 \n",
       "  601.978,1036 606.952,1034.97 611.925,1033.92 616.899,1032.84 621.873,1031.74 626.847,1030.63 631.821,1029.49 636.794,1028.32 641.768,1027.14 646.742,1025.92 \n",
       "  651.716,1024.69 656.69,1023.43 661.663,1022.14 666.637,1020.82 671.611,1019.48 676.585,1018.11 681.559,1016.71 686.532,1015.28 691.506,1013.82 696.48,1012.33 \n",
       "  701.454,1010.81 706.428,1009.25 711.401,1007.66 716.375,1006.03 721.349,1004.36 726.323,1002.66 731.297,1000.92 736.27,999.145 741.244,997.326 746.218,995.464 \n",
       "  751.192,993.56 756.166,991.611 761.14,989.616 766.113,987.574 771.087,985.484 776.061,983.344 781.035,981.152 786.009,978.908 790.982,976.609 795.956,974.254 \n",
       "  800.93,971.84 805.904,969.367 810.878,966.832 815.851,964.234 820.825,961.569 825.799,958.838 830.773,956.036 835.747,953.162 840.72,950.214 845.694,947.19 \n",
       "  850.668,944.086 855.642,940.9 860.616,937.63 865.589,934.273 870.563,930.825 875.537,927.285 880.511,923.649 885.485,919.913 890.458,916.075 895.432,912.131 \n",
       "  900.406,908.078 905.38,903.912 910.354,899.629 915.327,895.225 920.301,890.697 925.275,886.039 930.249,881.249 935.223,876.321 940.196,871.251 945.17,866.034 \n",
       "  950.144,860.665 955.118,855.139 960.092,849.452 965.065,843.597 970.039,837.569 975.013,831.363 979.987,824.972 984.961,818.392 989.934,811.615 994.908,804.636 \n",
       "  999.882,797.448 1004.86,790.045 1009.83,782.42 1014.8,774.568 1019.78,766.48 1024.75,758.151 1029.72,749.573 1034.7,740.74 1039.67,731.646 1044.65,722.283 \n",
       "  1049.62,712.644 1054.59,702.725 1059.57,692.518 1064.54,682.017 1069.52,671.218 1074.49,660.114 1079.46,648.702 1084.44,636.976 1089.41,624.935 1094.38,612.575 \n",
       "  1099.36,599.894 1104.33,586.893 1109.31,573.571 1114.28,559.931 1119.25,545.976 1124.23,531.712 1129.2,517.145 1134.17,502.286 1139.15,487.144 1144.12,471.735 \n",
       "  1149.1,456.075 1154.07,440.184 1159.04,424.085 1164.02,407.803 1168.99,391.369 1173.97,374.816 1178.94,358.182 1183.91,341.506 1188.89,324.836 1193.86,308.219 \n",
       "  1198.83,291.711 1203.81,275.366 1208.78,259.248 1213.76,243.419 1218.73,227.948 1223.7,212.906 1228.68,198.363 1233.65,184.395 1238.62,171.076 1243.6,158.481 \n",
       "  1248.57,146.683 1253.55,135.755 1258.52,125.765 1263.49,116.78 1268.47,108.86 1273.44,102.059 1278.41,96.4258 1283.39,92.0008 1288.36,88.8165 1293.34,86.8963 \n",
       "  1298.31,86.2547 1303.28,86.8963 1308.26,88.8165 1313.23,92.0008 1318.21,96.4258 1323.18,102.059 1328.15,108.86 1333.13,116.78 1338.1,125.765 1343.07,135.755 \n",
       "  1348.05,146.683 1353.02,158.481 1358,171.076 1362.97,184.395 1367.94,198.363 1372.92,212.906 1377.89,227.948 1382.86,243.419 1387.84,259.248 1392.81,275.366 \n",
       "  1397.79,291.711 1402.76,308.219 1407.73,324.836 1412.71,341.506 1417.68,358.182 1422.66,374.816 1427.63,391.369 1432.6,407.803 1437.58,424.085 1442.55,440.184 \n",
       "  1447.52,456.075 1452.5,471.735 1457.47,487.144 1462.45,502.286 1467.42,517.145 1472.39,531.712 1477.37,545.976 1482.34,559.931 1487.31,573.571 1492.29,586.893 \n",
       "  1497.26,599.894 1502.24,612.575 1507.21,624.935 1512.18,636.976 1517.16,648.702 1522.13,660.114 1527.1,671.218 1532.08,682.017 1537.05,692.518 1542.03,702.725 \n",
       "  1547,712.644 1551.97,722.283 1556.95,731.646 1561.92,740.74 1566.9,749.573 1571.87,758.151 1576.84,766.48 1581.82,774.568 1586.79,782.42 1591.76,790.045 \n",
       "  1596.74,797.448 1601.71,804.636 1606.69,811.615 1611.66,818.392 1616.63,824.972 1621.61,831.363 1626.58,837.569 1631.55,843.597 1636.53,849.452 1641.5,855.139 \n",
       "  1646.48,860.665 1651.45,866.034 1656.42,871.251 1661.4,876.321 1666.37,881.249 1671.35,886.039 1676.32,890.697 1681.29,895.225 1686.27,899.629 1691.24,903.912 \n",
       "  1696.21,908.078 1701.19,912.131 1706.16,916.075 1711.14,919.913 1716.11,923.649 1721.08,927.285 1726.06,930.825 1731.03,934.273 1736,937.63 1740.98,940.9 \n",
       "  1745.95,944.086 1750.93,947.19 1755.9,950.214 1760.87,953.162 1765.85,956.036 1770.82,958.838 1775.79,961.569 1780.77,964.234 1785.74,966.832 1790.72,969.367 \n",
       "  1795.69,971.84 1800.66,974.254 1805.64,976.609 1810.61,978.908 1815.59,981.152 1820.56,983.344 1825.53,985.484 1830.51,987.574 1835.48,989.616 1840.45,991.611 \n",
       "  1845.43,993.56 1850.4,995.464 1855.38,997.326 1860.35,999.145 1865.32,1000.92 1870.3,1002.66 1875.27,1004.36 1880.24,1006.03 1885.22,1007.66 1890.19,1009.25 \n",
       "  1895.17,1010.81 1900.14,1012.33 1905.11,1013.82 1910.09,1015.28 1915.06,1016.71 1920.04,1018.11 1925.01,1019.48 1929.98,1020.82 1934.96,1022.14 1939.93,1023.43 \n",
       "  1944.9,1024.69 1949.88,1025.92 1954.85,1027.14 1959.83,1028.32 1964.8,1029.49 1969.77,1030.63 1974.75,1031.74 1979.72,1032.84 1984.69,1033.92 1989.67,1034.97 \n",
       "  1994.64,1036 1999.62,1037.02 2004.59,1038.01 2009.56,1038.99 2014.54,1039.95 2019.51,1040.89 2024.49,1041.81 2029.46,1042.71 2034.43,1043.6 2039.41,1044.48 \n",
       "  2044.38,1045.33 2049.35,1046.17 2054.33,1047 2059.3,1047.81 2064.28,1048.61 2069.25,1049.39 2074.22,1050.16 2079.2,1050.92 2084.17,1051.66 2089.14,1052.39 \n",
       "  2094.12,1053.11 2099.09,1053.81 2104.07,1054.5 2109.04,1055.18 2114.01,1055.85 2118.99,1056.51 2123.96,1057.16 2128.93,1057.8 2133.91,1058.42 2138.88,1059.04 \n",
       "  2143.86,1059.64 2148.83,1060.24 2153.8,1060.83 2158.78,1061.4 2163.75,1061.97 2168.73,1062.53 2173.7,1063.08 2178.67,1063.62 2183.65,1064.15 2188.62,1064.68 \n",
       "  2193.59,1065.19 2198.57,1065.7 2203.54,1066.2 2208.52,1066.69 2213.49,1067.18 2218.46,1067.65 2223.44,1068.12 2228.41,1068.59 2233.38,1069.04 2238.36,1069.49 \n",
       "  2243.33,1069.94 2248.31,1070.37 2253.28,1070.8 2258.25,1071.23 2263.23,1071.64 2268.2,1072.05 2273.18,1072.46 2278.15,1072.86 2283.12,1073.25 2288.1,1073.64 \n",
       "  2293.07,1074.02 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  303.55,1386.61 308.524,1373.64 313.497,1360.73 318.471,1347.89 323.445,1335.11 328.419,1322.4 333.393,1309.76 338.366,1297.18 343.34,1284.66 348.314,1272.21 \n",
       "  353.288,1259.82 358.262,1247.5 363.235,1235.25 368.209,1223.06 373.183,1210.93 378.157,1198.87 383.131,1186.87 388.104,1174.94 393.078,1163.08 398.052,1151.28 \n",
       "  403.026,1139.54 408,1127.87 412.973,1116.26 417.947,1104.72 422.921,1093.25 427.895,1081.84 432.869,1070.49 437.842,1059.21 442.816,1048 447.79,1036.85 \n",
       "  452.764,1025.76 457.738,1014.74 462.711,1003.78 467.685,992.894 472.659,982.068 477.633,971.308 482.607,960.612 487.58,949.982 492.554,939.417 497.528,928.916 \n",
       "  502.502,918.481 507.476,908.111 512.449,897.805 517.423,887.565 522.397,877.39 527.371,867.279 532.345,857.234 537.318,847.254 542.292,837.339 547.266,827.489 \n",
       "  552.24,817.703 557.214,807.983 562.187,798.328 567.161,788.738 572.135,779.213 577.109,769.753 582.083,760.358 587.056,751.028 592.03,741.763 597.004,732.563 \n",
       "  601.978,723.428 606.952,714.358 611.925,705.353 616.899,696.413 621.873,687.538 626.847,678.728 631.821,669.983 636.794,661.303 641.768,652.689 646.742,644.139 \n",
       "  651.716,635.654 656.69,627.234 661.663,618.879 666.637,610.59 671.611,602.365 676.585,594.205 681.559,586.111 686.532,578.081 691.506,570.116 696.48,562.217 \n",
       "  701.454,554.382 706.428,546.612 711.401,538.908 716.375,531.268 721.349,523.694 726.323,516.184 731.297,508.739 736.27,501.36 741.244,494.045 746.218,486.796 \n",
       "  751.192,479.612 756.166,472.492 761.14,465.438 766.113,458.448 771.087,451.524 776.061,444.665 781.035,437.87 786.009,431.141 790.982,424.477 795.956,417.877 \n",
       "  800.93,411.343 805.904,404.874 810.878,398.47 815.851,392.13 820.825,385.856 825.799,379.647 830.773,373.503 835.747,367.424 840.72,361.409 845.694,355.46 \n",
       "  850.668,349.576 855.642,343.757 860.616,338.003 865.589,332.314 870.563,326.69 875.537,321.131 880.511,315.637 885.485,310.208 890.458,304.844 895.432,299.545 \n",
       "  900.406,294.311 905.38,289.142 910.354,284.038 915.327,279 920.301,274.026 925.275,269.117 930.249,264.273 935.223,259.494 940.196,254.78 945.17,250.132 \n",
       "  950.144,245.548 955.118,241.029 960.092,236.576 965.065,232.187 970.039,227.863 975.013,223.605 979.987,219.411 984.961,215.282 989.934,211.219 994.908,207.22 \n",
       "  999.882,203.286 1004.86,199.418 1009.83,195.614 1014.8,191.876 1019.78,188.202 1024.75,184.594 1029.72,181.05 1034.7,177.572 1039.67,174.159 1044.65,170.81 \n",
       "  1049.62,167.527 1054.59,164.308 1059.57,161.155 1064.54,158.067 1069.52,155.043 1074.49,152.085 1079.46,149.192 1084.44,146.364 1089.41,143.6 1094.38,140.902 \n",
       "  1099.36,138.269 1104.33,135.701 1109.31,133.197 1114.28,130.759 1119.25,128.386 1124.23,126.078 1129.2,123.835 1134.17,121.657 1139.15,119.544 1144.12,117.496 \n",
       "  1149.1,115.513 1154.07,113.595 1159.04,111.742 1164.02,109.954 1168.99,108.231 1173.97,106.573 1178.94,104.98 1183.91,103.452 1188.89,101.989 1193.86,100.591 \n",
       "  1198.83,99.2582 1203.81,97.9904 1208.78,96.7876 1213.76,95.6497 1218.73,94.577 1223.7,93.5692 1228.68,92.6264 1233.65,91.7487 1238.62,90.936 1243.6,90.1883 \n",
       "  1248.57,89.5056 1253.55,88.8879 1258.52,88.3353 1263.49,87.8476 1268.47,87.425 1273.44,87.0674 1278.41,86.7748 1283.39,86.5473 1288.36,86.3847 1293.34,86.2872 \n",
       "  1298.31,86.2547 1303.28,86.2872 1308.26,86.3847 1313.23,86.5473 1318.21,86.7748 1323.18,87.0674 1328.15,87.425 1333.13,87.8476 1338.1,88.3353 1343.07,88.8879 \n",
       "  1348.05,89.5056 1353.02,90.1883 1358,90.936 1362.97,91.7487 1367.94,92.6264 1372.92,93.5692 1377.89,94.577 1382.86,95.6497 1387.84,96.7876 1392.81,97.9904 \n",
       "  1397.79,99.2582 1402.76,100.591 1407.73,101.989 1412.71,103.452 1417.68,104.98 1422.66,106.573 1427.63,108.231 1432.6,109.954 1437.58,111.742 1442.55,113.595 \n",
       "  1447.52,115.513 1452.5,117.496 1457.47,119.544 1462.45,121.657 1467.42,123.835 1472.39,126.078 1477.37,128.386 1482.34,130.759 1487.31,133.197 1492.29,135.701 \n",
       "  1497.26,138.269 1502.24,140.902 1507.21,143.6 1512.18,146.364 1517.16,149.192 1522.13,152.085 1527.1,155.043 1532.08,158.067 1537.05,161.155 1542.03,164.308 \n",
       "  1547,167.527 1551.97,170.81 1556.95,174.159 1561.92,177.572 1566.9,181.05 1571.87,184.594 1576.84,188.202 1581.82,191.876 1586.79,195.614 1591.76,199.418 \n",
       "  1596.74,203.286 1601.71,207.22 1606.69,211.219 1611.66,215.282 1616.63,219.411 1621.61,223.605 1626.58,227.863 1631.55,232.187 1636.53,236.576 1641.5,241.029 \n",
       "  1646.48,245.548 1651.45,250.132 1656.42,254.78 1661.4,259.494 1666.37,264.273 1671.35,269.117 1676.32,274.026 1681.29,279 1686.27,284.038 1691.24,289.142 \n",
       "  1696.21,294.311 1701.19,299.545 1706.16,304.844 1711.14,310.208 1716.11,315.637 1721.08,321.131 1726.06,326.69 1731.03,332.314 1736,338.003 1740.98,343.757 \n",
       "  1745.95,349.576 1750.93,355.46 1755.9,361.409 1760.87,367.424 1765.85,373.503 1770.82,379.647 1775.79,385.856 1780.77,392.13 1785.74,398.47 1790.72,404.874 \n",
       "  1795.69,411.343 1800.66,417.877 1805.64,424.477 1810.61,431.141 1815.59,437.87 1820.56,444.665 1825.53,451.524 1830.51,458.448 1835.48,465.438 1840.45,472.492 \n",
       "  1845.43,479.612 1850.4,486.796 1855.38,494.045 1860.35,501.36 1865.32,508.739 1870.3,516.184 1875.27,523.694 1880.24,531.268 1885.22,538.908 1890.19,546.612 \n",
       "  1895.17,554.382 1900.14,562.217 1905.11,570.116 1910.09,578.081 1915.06,586.111 1920.04,594.205 1925.01,602.365 1929.98,610.59 1934.96,618.879 1939.93,627.234 \n",
       "  1944.9,635.654 1949.88,644.139 1954.85,652.689 1959.83,661.303 1964.8,669.983 1969.77,678.728 1974.75,687.538 1979.72,696.413 1984.69,705.353 1989.67,714.358 \n",
       "  1994.64,723.428 1999.62,732.563 2004.59,741.763 2009.56,751.028 2014.54,760.358 2019.51,769.753 2024.49,779.213 2029.46,788.738 2034.43,798.328 2039.41,807.983 \n",
       "  2044.38,817.703 2049.35,827.489 2054.33,837.339 2059.3,847.254 2064.28,857.234 2069.25,867.279 2074.22,877.39 2079.2,887.565 2084.17,897.805 2089.14,908.111 \n",
       "  2094.12,918.481 2099.09,928.916 2104.07,939.417 2109.04,949.982 2114.01,960.612 2118.99,971.308 2123.96,982.068 2128.93,992.894 2133.91,1003.78 2138.88,1014.74 \n",
       "  2143.86,1025.76 2148.83,1036.85 2153.8,1048 2158.78,1059.21 2163.75,1070.49 2168.73,1081.84 2173.7,1093.25 2178.67,1104.72 2183.65,1116.26 2188.62,1127.87 \n",
       "  2193.59,1139.54 2198.57,1151.28 2203.54,1163.08 2208.52,1174.94 2213.49,1186.87 2218.46,1198.87 2223.44,1210.93 2228.41,1223.06 2233.38,1235.25 2238.36,1247.5 \n",
       "  2243.33,1259.82 2248.31,1272.21 2253.28,1284.66 2258.25,1297.18 2263.23,1309.76 2268.2,1322.4 2273.18,1335.11 2278.15,1347.89 2283.12,1360.73 2288.1,1373.64 \n",
       "  2293.07,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7502)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  2159.8,1061.52 1298.31,86.2547 436.822,1061.52 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip7502)\" cx=\"2159.8\" cy=\"1061.52\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip7502)\" cx=\"1298.31\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip7502)\" cx=\"436.822\" cy=\"1061.52\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip7500)\" d=\"\n",
       "M1381.28 372.684 L2280.76 372.684 L2280.76 130.764 L1381.28 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1381.28,372.684 2280.76,372.684 2280.76,130.764 1381.28,130.764 1381.28,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,191.244 1549.28,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 208.744)\" x=\"1573.28\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,251.724 1549.28,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 269.224)\" x=\"1573.28\" y=\"269.224\">Polynomial interpolation 2, n=2</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip7500)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1405.28,312.204 1549.28,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip7500)\" cx=\"1489.28\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip7500)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1573.28, 329.704)\" x=\"1573.28\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xo, yo, xx, yy_ori, yy_int, A = polyint_2(2)\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 2, n=2\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 代数精度\n",
    "\n",
    "因为$n=2$插值多项式是一个二次插值多项式，所以其积分插值公式必然至少具有$2$次代数精度，对于$f(x)=x^3$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^{1}{x^3\\mathrm{d}x}&=0\n",
    "\\\\\n",
    "\\sum_{k=0}^{2}{A_if(x_i)}&=\\frac{4}{9}\\left( -\\frac{3\\sqrt{3}}{8}+\\frac{3\\sqrt{3}}{8} \\right)\n",
    "\\\\\n",
    "&=0\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "对于$f(x)=x^4$，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^{1}{x^4\\mathrm{d}x}&=\\frac{2}{5}\n",
    "\\\\\n",
    "\\sum_{k=0}^{2}{A_if(x_i)}&=\\frac{4}{9}\\left( \\frac{9}{16}+\\frac{9}{16} \\right)\n",
    "\\\\\n",
    "&=\\frac{1}{2}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "所以该$n=2$的插值积分多项式对$1,x,x^2,x^3$精确成立，具有$3$次代数精度。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 积分余项\n",
    "\n",
    "由于具有$3$次代数精度，则其积分余项具有形式：\n",
    "\n",
    "$$R=I-I_2=Cf^{(4)}(\\eta)$$\n",
    "\n",
    "设$f(x)=x^4$，代入可得：\n",
    "\n",
    "$$R=\\int_{-1}^{1}{x^4\\mathrm{d}x}-\\sum_{k=0}^{2}{A_if(x_i)}=\\frac{2}{5}-\\frac{1}{2}=-\\frac{1}{10}=Cf^{(4)}(\\eta)=C\\times 4!$$\n",
    "\n",
    "所以得到\n",
    "\n",
    "$$C=-\\frac{1}{10\\times4!}=-\\frac{1}{240}$$\n",
    "\n",
    "所以积分余项为：\n",
    "\n",
    "$$R=I-I_2=-\\frac{1}{240}f^{(4)}(\\eta)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 积分计算与误差估计\n",
    "\n",
    "用$n=2$时的积分公式计算函数$f(x)=\\frac{1}{1+25x^2}$的积分值，则有：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "I_2=\\int_{-1}^1{\\frac{1}{1+25x^2}\\mathrm{d}x} &\\approx \\sum_{k=0}^{2}{A_if(x_i)} \n",
    "\\\\\n",
    "&=\\frac{4}{9} f\\left(-\\frac{\\sqrt{3}}{2}\\right)\n",
    "+\\frac{10}{9} f\\left(0\\right)\n",
    "+\\frac{4}{9} f\\left(\\frac{\\sqrt{3}}{2}\\right)\n",
    "\\\\\n",
    "&=\\frac{4}{9} \\times\\frac{4}{79}\n",
    "+\\frac{10}{9} \\times 1\n",
    "+\\frac{4}{9} \\times\\frac{4}{79}\n",
    "\\\\\n",
    "&=\\frac{274}{237}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "与精确积分值$I=\\int_{-1}^{1}{f(x)\\mathrm{d}x}=\\frac{2}{5}\\mathrm{a}\\tan 5=0.5493603067780064$比较，则得到积分的误差为：\n",
    "\n",
    "$$R=I-I_2=-0.6067578366819093$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.6067578366819093"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "0.5493603067780064 - 274/237"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "polyint_3 (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 分段线性插值\n",
    "function polyint_3()\n",
    "    xo = -1:0.2:1\n",
    "    yo = HwMath.m_f(xo)\n",
    "    xx = -1:0.005:1\n",
    "    yy_ori = HwMath.m_f(xx)\n",
    "    yy_int = (x->HwMath.m_L_sp(x,xo,HwMath.m_f)).(xx)\n",
    "    print(length(yy_int))\n",
    "    return xx, yy_int, yy_ori, xo, yo\n",
    "end\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 分段线性插值\n",
    "## 插值函数及其误差\n",
    "### 函数图像及对比\n",
    "分段折线插值即在每一小段上采用步长$h=\\frac{b-a}{n}=\\frac{2}{10}=0.2$的线性插值（$n=1$的拉格朗日插值），其在$[x_{k},x_{k+1|}]$段上的插值多项式为：\n",
    "\n",
    "$$L_{n_k}(x) = f(x_k)\\frac{x-x_{k+1}}{x_k-x_{k+1}}+f(x_{k+1})\\frac{x-x_{k}}{x_{k+1}-x_{k}}$$\n",
    "\n",
    "分段线性插值函数图像及其与原函数的对比如下图所示："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "401"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip7800\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip7800)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip7801\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip7800)\" d=\"\nM215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip7802\">\n    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  276.235,1425.62 276.235,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  780.245,1425.62 780.245,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,1168.15 2352.76,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,897.675 2352.76,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,627.202 2352.76,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,356.728 2352.76,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  215.754,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1425.62 215.754,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  276.235,1425.62 276.235,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  780.245,1425.62 780.245,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1284.25,1425.62 1284.25,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1788.26,1425.62 1788.26,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2292.27,1425.62 2292.27,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,1168.15 241.398,1168.15 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,897.675 241.398,897.675 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,627.202 241.398,627.202 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,356.728 241.398,356.728 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  215.754,86.2547 241.398,86.2547 \n  \"/>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n  2292.27,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  276.235,1386.61 281.275,1385.92 286.315,1385.23 291.356,1384.54 296.396,1383.85 301.436,1383.17 306.476,1382.48 311.516,1381.79 316.556,1381.1 321.596,1380.41 \n  326.636,1379.72 331.676,1379.04 336.716,1378.35 341.757,1377.66 346.797,1376.97 351.837,1376.28 356.877,1375.59 361.917,1374.9 366.957,1374.22 371.997,1373.53 \n  377.037,1372.84 382.077,1372.15 387.117,1371.46 392.158,1370.77 397.198,1370.09 402.238,1369.4 407.278,1368.71 412.318,1368.02 417.358,1367.33 422.398,1366.64 \n  427.438,1365.96 432.478,1365.27 437.518,1364.58 442.559,1363.89 447.599,1363.2 452.639,1362.51 457.679,1361.82 462.719,1361.14 467.759,1360.45 472.799,1359.76 \n  477.839,1359.07 482.879,1357.68 487.919,1356.29 492.96,1354.89 498,1353.5 503.04,1352.11 508.08,1350.72 513.12,1349.33 518.16,1347.93 523.2,1346.54 \n  528.24,1345.15 533.28,1343.76 538.32,1342.37 543.36,1340.97 548.401,1339.58 553.441,1338.19 558.481,1336.8 563.521,1335.4 568.561,1334.01 573.601,1332.62 \n  578.641,1331.23 583.681,1329.84 588.721,1328.44 593.761,1327.05 598.802,1325.66 603.842,1324.27 608.882,1322.88 613.922,1321.48 618.962,1320.09 624.002,1318.7 \n  629.042,1317.31 634.082,1315.91 639.122,1314.52 644.162,1313.13 649.203,1311.74 654.243,1310.35 659.283,1308.95 664.323,1307.56 669.363,1306.17 674.403,1304.78 \n  679.443,1303.39 684.483,1300 689.523,1296.62 694.563,1293.24 699.604,1289.86 704.644,1286.48 709.684,1283.1 714.724,1279.72 719.764,1276.34 724.804,1272.96 \n  729.844,1269.58 734.884,1266.2 739.924,1262.81 744.964,1259.43 750.005,1256.05 755.045,1252.67 760.085,1249.29 765.125,1245.91 770.165,1242.53 775.205,1239.15 \n  780.245,1235.77 785.285,1232.39 790.325,1229.01 795.365,1225.62 800.406,1222.24 805.446,1218.86 810.486,1215.48 815.526,1212.1 820.566,1208.72 825.606,1205.34 \n  830.646,1201.96 835.686,1198.58 840.726,1195.2 845.766,1191.82 850.807,1188.43 855.847,1185.05 860.887,1181.67 865.927,1178.29 870.967,1174.91 876.007,1171.53 \n  881.047,1168.15 886.087,1158.01 891.127,1147.86 896.167,1137.72 901.207,1127.58 906.248,1117.43 911.288,1107.29 916.328,1097.15 921.368,1087.01 926.408,1076.86 \n  931.448,1066.72 936.488,1056.58 941.528,1046.44 946.568,1036.29 951.608,1026.15 956.649,1016.01 961.689,1005.86 966.729,995.722 971.769,985.579 976.809,975.436 \n  981.849,965.294 986.889,955.151 991.929,945.008 996.969,934.865 1002.01,924.723 1007.05,914.58 1012.09,904.437 1017.13,894.294 1022.17,884.151 1027.21,874.009 \n  1032.25,863.866 1037.29,853.723 1042.33,843.58 1047.37,833.438 1052.41,823.295 1057.45,813.152 1062.49,803.009 1067.53,792.867 1072.57,782.724 1077.61,772.581 \n  1082.65,762.438 1087.69,745.534 1092.73,728.629 1097.77,711.725 1102.81,694.82 1107.85,677.915 1112.89,661.011 1117.93,644.106 1122.97,627.202 1128.01,610.297 \n  1133.05,593.392 1138.09,576.488 1143.13,559.583 1148.17,542.679 1153.21,525.774 1158.25,508.87 1163.29,491.965 1168.33,475.06 1173.37,458.156 1178.41,441.251 \n  1183.45,424.347 1188.49,407.442 1193.53,390.537 1198.57,373.633 1203.61,356.728 1208.65,339.824 1213.69,322.919 1218.73,306.014 1223.77,289.11 1228.81,272.205 \n  1233.85,255.301 1238.89,238.396 1243.93,221.491 1248.97,204.587 1254.01,187.682 1259.05,170.778 1264.09,153.873 1269.13,136.968 1274.17,120.064 1279.21,103.159 \n  1284.25,86.2547 1289.3,103.159 1294.34,120.064 1299.38,136.968 1304.42,153.873 1309.46,170.778 1314.5,187.682 1319.54,204.587 1324.58,221.491 1329.62,238.396 \n  1334.66,255.301 1339.7,272.205 1344.74,289.11 1349.78,306.014 1354.82,322.919 1359.86,339.824 1364.9,356.728 1369.94,373.633 1374.98,390.537 1380.02,407.442 \n  1385.06,424.347 1390.1,441.251 1395.14,458.156 1400.18,475.06 1405.22,491.965 1410.26,508.87 1415.3,525.774 1420.34,542.679 1425.38,559.583 1430.42,576.488 \n  1435.46,593.392 1440.5,610.297 1445.54,627.202 1450.58,644.106 1455.62,661.011 1460.66,677.915 1465.7,694.82 1470.74,711.725 1475.78,728.629 1480.82,745.534 \n  1485.86,762.438 1490.9,772.581 1495.94,782.724 1500.98,792.867 1506.02,803.009 1511.06,813.152 1516.1,823.295 1521.14,833.438 1526.18,843.58 1531.22,853.723 \n  1536.26,863.866 1541.3,874.009 1546.34,884.151 1551.38,894.294 1556.42,904.437 1561.46,914.58 1566.5,924.723 1571.54,934.865 1576.58,945.008 1581.62,955.151 \n  1586.66,965.294 1591.7,975.436 1596.74,985.579 1601.78,995.722 1606.82,1005.86 1611.86,1016.01 1616.9,1026.15 1621.94,1036.29 1626.98,1046.44 1632.02,1056.58 \n  1637.06,1066.72 1642.1,1076.86 1647.14,1087.01 1652.18,1097.15 1657.22,1107.29 1662.26,1117.43 1667.3,1127.58 1672.34,1137.72 1677.38,1147.86 1682.42,1158.01 \n  1687.46,1168.15 1692.5,1171.53 1697.54,1174.91 1702.58,1178.29 1707.62,1181.67 1712.66,1185.05 1717.7,1188.43 1722.74,1191.82 1727.78,1195.2 1732.82,1198.58 \n  1737.86,1201.96 1742.9,1205.34 1747.94,1208.72 1752.98,1212.1 1758.02,1215.48 1763.06,1218.86 1768.1,1222.24 1773.14,1225.62 1778.18,1229.01 1783.22,1232.39 \n  1788.26,1235.77 1793.3,1239.15 1798.35,1242.53 1803.39,1245.91 1808.43,1249.29 1813.47,1252.67 1818.51,1256.05 1823.55,1259.43 1828.59,1262.81 1833.63,1266.2 \n  1838.67,1269.58 1843.71,1272.96 1848.75,1276.34 1853.79,1279.72 1858.83,1283.1 1863.87,1286.48 1868.91,1289.86 1873.95,1293.24 1878.99,1296.62 1884.03,1300 \n  1889.07,1303.39 1894.11,1304.78 1899.15,1306.17 1904.19,1307.56 1909.23,1308.95 1914.27,1310.35 1919.31,1311.74 1924.35,1313.13 1929.39,1314.52 1934.43,1315.91 \n  1939.47,1317.31 1944.51,1318.7 1949.55,1320.09 1954.59,1321.48 1959.63,1322.88 1964.67,1324.27 1969.71,1325.66 1974.75,1327.05 1979.79,1328.44 1984.83,1329.84 \n  1989.87,1331.23 1994.91,1332.62 1999.95,1334.01 2004.99,1335.4 2010.03,1336.8 2015.07,1338.19 2020.11,1339.58 2025.15,1340.97 2030.19,1342.37 2035.23,1343.76 \n  2040.27,1345.15 2045.31,1346.54 2050.35,1347.93 2055.39,1349.33 2060.43,1350.72 2065.47,1352.11 2070.51,1353.5 2075.55,1354.89 2080.59,1356.29 2085.63,1357.68 \n  2090.67,1359.07 2095.71,1359.76 2100.75,1360.45 2105.79,1361.14 2110.83,1361.82 2115.87,1362.51 2120.91,1363.2 2125.95,1363.89 2130.99,1364.58 2136.03,1365.27 \n  2141.07,1365.96 2146.11,1366.64 2151.15,1367.33 2156.19,1368.02 2161.23,1368.71 2166.27,1369.4 2171.31,1370.09 2176.35,1370.77 2181.39,1371.46 2186.43,1372.15 \n  2191.47,1372.84 2196.51,1373.53 2201.55,1374.22 2206.59,1374.9 2211.63,1375.59 2216.67,1376.28 2221.71,1376.97 2226.75,1377.66 2231.79,1378.35 2236.83,1379.04 \n  2241.87,1379.72 2246.91,1380.41 2251.95,1381.1 2256.99,1381.79 2262.03,1382.48 2267.07,1383.17 2272.11,1383.85 2277.15,1384.54 2282.19,1385.23 2287.23,1385.92 \n  2292.27,1386.61 \n  \"/>\n<polyline clip-path=\"url(#clip7802)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  276.235,1386.61 477.839,1359.07 679.443,1303.39 881.047,1168.15 1082.65,762.438 1284.25,86.2547 1485.86,762.438 1687.46,1168.15 1889.07,1303.39 2090.67,1359.07 \n  2292.27,1386.61 \n  \"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"276.235\" cy=\"1386.61\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"477.839\" cy=\"1359.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"679.443\" cy=\"1303.39\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"881.047\" cy=\"1168.15\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"1082.65\" cy=\"762.438\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"1284.25\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"1485.86\" cy=\"762.438\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"1687.46\" cy=\"1168.15\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"1889.07\" cy=\"1303.39\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"2090.67\" cy=\"1359.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip7802)\" cx=\"2292.27\" cy=\"1386.61\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<path clip-path=\"url(#clip7800)\" d=\"\nM1425.46 372.684 L2280.76 372.684 L2280.76 130.764 L1425.46 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1425.46,372.684 2280.76,372.684 2280.76,130.764 1425.46,130.764 1425.46,372.684 \n  \"/>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1449.46,191.244 1593.46,191.244 \n  \"/>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 208.744)\" x=\"1617.46\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1449.46,251.724 1593.46,251.724 \n  \"/>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 269.224)\" x=\"1617.46\" y=\"269.224\">Polynomial interpolation 3 sp</text>\n</g>\n<polyline clip-path=\"url(#clip7800)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1449.46,312.204 1593.46,312.204 \n  \"/>\n<circle clip-path=\"url(#clip7800)\" cx=\"1533.46\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip7800)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 329.704)\" x=\"1617.46\" y=\"329.704\">Points</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip8100\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8100)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8101\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8100)\" d=\"\n",
       "M215.754 1425.62 L2352.76 1425.62 L2352.76 47.2441 L215.754 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8102\">\n",
       "    <rect x=\"215\" y=\"47\" width=\"2138\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,1168.15 2352.76,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,897.675 2352.76,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,627.202 2352.76,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,356.728 2352.76,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  215.754,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1425.62 215.754,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1425.62 276.235,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  780.245,1425.62 780.245,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1284.25,1425.62 1284.25,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1788.26,1425.62 1788.26,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2292.27,1425.62 2292.27,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,1168.15 241.398,1168.15 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,897.675 241.398,897.675 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,627.202 241.398,627.202 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,356.728 241.398,356.728 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  215.754,86.2547 241.398,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 276.235, 1479.62)\" x=\"276.235\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 780.245, 1479.62)\" x=\"780.245\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1479.62)\" x=\"1284.25\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1788.26, 1479.62)\" x=\"1788.26\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2292.27, 1479.62)\" x=\"2292.27\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 1185.65)\" x=\"191.754\" y=\"1185.65\">0.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 915.175)\" x=\"191.754\" y=\"915.175\">0.4</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 644.702)\" x=\"191.754\" y=\"644.702\">0.6</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 374.228)\" x=\"191.754\" y=\"374.228\">0.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 191.754, 103.755)\" x=\"191.754\" y=\"103.755\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1284.25, 1559.48)\" x=\"1284.25\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1386.61 281.275,1386.1 286.315,1385.59 291.356,1385.07 296.396,1384.55 301.436,1384.02 306.476,1383.47 311.516,1382.92 316.556,1382.37 321.596,1381.8 \n",
       "  326.636,1381.23 331.676,1380.64 336.716,1380.05 341.757,1379.45 346.797,1378.84 351.837,1378.22 356.877,1377.59 361.917,1376.96 366.957,1376.31 371.997,1375.65 \n",
       "  377.037,1374.98 382.077,1374.3 387.117,1373.61 392.158,1372.91 397.198,1372.2 402.238,1371.48 407.278,1370.74 412.318,1369.99 417.358,1369.23 422.398,1368.46 \n",
       "  427.438,1367.68 432.478,1366.88 437.518,1366.07 442.559,1365.25 447.599,1364.41 452.639,1363.56 457.679,1362.69 462.719,1361.81 467.759,1360.91 472.799,1360 \n",
       "  477.839,1359.07 482.879,1358.13 487.919,1357.17 492.96,1356.19 498,1355.19 503.04,1354.18 508.08,1353.15 513.12,1352.1 518.16,1351.03 523.2,1349.95 \n",
       "  528.24,1348.84 533.28,1347.71 538.32,1346.56 543.36,1345.39 548.401,1344.2 553.441,1342.99 558.481,1341.75 563.521,1340.49 568.561,1339.2 573.601,1337.89 \n",
       "  578.641,1336.56 583.681,1335.2 588.721,1333.81 593.761,1332.39 598.802,1330.95 603.842,1329.48 608.882,1327.98 613.922,1326.44 618.962,1324.88 624.002,1323.29 \n",
       "  629.042,1321.66 634.082,1320 639.122,1318.3 644.162,1316.57 649.203,1314.81 654.243,1313 659.283,1311.16 664.323,1309.28 669.363,1307.36 674.403,1305.39 \n",
       "  679.443,1303.39 684.483,1301.33 689.523,1299.24 694.563,1297.1 699.604,1294.91 704.644,1292.67 709.684,1290.38 714.724,1288.03 719.764,1285.64 724.804,1283.19 \n",
       "  729.844,1280.68 734.884,1278.12 739.924,1275.49 744.964,1272.8 750.005,1270.05 755.045,1267.23 760.085,1264.35 765.125,1261.39 770.165,1258.37 775.205,1255.27 \n",
       "  780.245,1252.09 785.285,1248.83 790.325,1245.5 795.365,1242.07 800.406,1238.57 805.446,1234.97 810.486,1231.28 815.526,1227.5 820.566,1223.62 825.606,1219.64 \n",
       "  830.646,1215.55 835.686,1211.36 840.726,1207.05 845.766,1202.63 850.807,1198.09 855.847,1193.43 860.887,1188.65 865.927,1183.73 870.967,1178.68 876.007,1173.48 \n",
       "  881.047,1168.15 886.087,1162.66 891.127,1157.03 896.167,1151.23 901.207,1145.27 906.248,1139.14 911.288,1132.83 916.328,1126.34 921.368,1119.67 926.408,1112.8 \n",
       "  931.448,1105.73 936.488,1098.46 941.528,1090.97 946.568,1083.26 951.608,1075.33 956.649,1067.16 961.689,1058.74 966.729,1050.08 971.769,1041.16 976.809,1031.97 \n",
       "  981.849,1022.51 986.889,1012.76 991.929,1002.73 996.969,992.388 1002.01,981.741 1007.05,970.776 1012.09,959.484 1017.13,947.856 1022.17,935.883 1027.21,923.557 \n",
       "  1032.25,910.869 1037.29,897.81 1042.33,884.373 1047.37,870.55 1052.41,856.333 1057.45,841.715 1062.49,826.691 1067.53,811.255 1072.57,795.403 1077.61,779.132 \n",
       "  1082.65,762.438 1087.69,745.323 1092.73,727.785 1097.77,709.829 1102.81,691.458 1107.85,672.68 1112.89,653.503 1117.93,633.941 1122.97,614.008 1128.01,593.723 \n",
       "  1133.05,573.107 1138.09,552.187 1143.13,530.993 1148.17,509.559 1153.21,487.924 1158.25,466.133 1163.29,444.234 1168.33,422.282 1173.37,400.336 1178.41,378.461 \n",
       "  1183.45,356.728 1188.49,335.212 1193.53,313.992 1198.57,293.155 1203.61,272.788 1208.65,252.985 1213.69,233.84 1218.73,215.452 1223.77,197.918 1228.81,181.337 \n",
       "  1233.85,165.806 1238.89,151.419 1243.93,138.269 1248.97,126.44 1254.01,116.013 1259.05,107.06 1264.09,99.6445 1269.13,93.8192 1274.17,89.6272 1279.21,87.0994 \n",
       "  1284.25,86.2547 1289.3,87.0994 1294.34,89.6272 1299.38,93.8192 1304.42,99.6445 1309.46,107.06 1314.5,116.013 1319.54,126.44 1324.58,138.269 1329.62,151.419 \n",
       "  1334.66,165.806 1339.7,181.337 1344.74,197.918 1349.78,215.452 1354.82,233.84 1359.86,252.985 1364.9,272.788 1369.94,293.155 1374.98,313.992 1380.02,335.212 \n",
       "  1385.06,356.728 1390.1,378.461 1395.14,400.336 1400.18,422.282 1405.22,444.234 1410.26,466.133 1415.3,487.924 1420.34,509.559 1425.38,530.993 1430.42,552.187 \n",
       "  1435.46,573.107 1440.5,593.723 1445.54,614.008 1450.58,633.941 1455.62,653.503 1460.66,672.68 1465.7,691.458 1470.74,709.829 1475.78,727.785 1480.82,745.323 \n",
       "  1485.86,762.438 1490.9,779.132 1495.94,795.403 1500.98,811.255 1506.02,826.691 1511.06,841.715 1516.1,856.333 1521.14,870.55 1526.18,884.373 1531.22,897.81 \n",
       "  1536.26,910.869 1541.3,923.557 1546.34,935.883 1551.38,947.856 1556.42,959.484 1561.46,970.776 1566.5,981.741 1571.54,992.388 1576.58,1002.73 1581.62,1012.76 \n",
       "  1586.66,1022.51 1591.7,1031.97 1596.74,1041.16 1601.78,1050.08 1606.82,1058.74 1611.86,1067.16 1616.9,1075.33 1621.94,1083.26 1626.98,1090.97 1632.02,1098.46 \n",
       "  1637.06,1105.73 1642.1,1112.8 1647.14,1119.67 1652.18,1126.34 1657.22,1132.83 1662.26,1139.14 1667.3,1145.27 1672.34,1151.23 1677.38,1157.03 1682.42,1162.66 \n",
       "  1687.46,1168.15 1692.5,1173.48 1697.54,1178.68 1702.58,1183.73 1707.62,1188.65 1712.66,1193.43 1717.7,1198.09 1722.74,1202.63 1727.78,1207.05 1732.82,1211.36 \n",
       "  1737.86,1215.55 1742.9,1219.64 1747.94,1223.62 1752.98,1227.5 1758.02,1231.28 1763.06,1234.97 1768.1,1238.57 1773.14,1242.07 1778.18,1245.5 1783.22,1248.83 \n",
       "  1788.26,1252.09 1793.3,1255.27 1798.35,1258.37 1803.39,1261.39 1808.43,1264.35 1813.47,1267.23 1818.51,1270.05 1823.55,1272.8 1828.59,1275.49 1833.63,1278.12 \n",
       "  1838.67,1280.68 1843.71,1283.19 1848.75,1285.64 1853.79,1288.03 1858.83,1290.38 1863.87,1292.67 1868.91,1294.91 1873.95,1297.1 1878.99,1299.24 1884.03,1301.33 \n",
       "  1889.07,1303.39 1894.11,1305.39 1899.15,1307.36 1904.19,1309.28 1909.23,1311.16 1914.27,1313 1919.31,1314.81 1924.35,1316.57 1929.39,1318.3 1934.43,1320 \n",
       "  1939.47,1321.66 1944.51,1323.29 1949.55,1324.88 1954.59,1326.44 1959.63,1327.98 1964.67,1329.48 1969.71,1330.95 1974.75,1332.39 1979.79,1333.81 1984.83,1335.2 \n",
       "  1989.87,1336.56 1994.91,1337.89 1999.95,1339.2 2004.99,1340.49 2010.03,1341.75 2015.07,1342.99 2020.11,1344.2 2025.15,1345.39 2030.19,1346.56 2035.23,1347.71 \n",
       "  2040.27,1348.84 2045.31,1349.95 2050.35,1351.03 2055.39,1352.1 2060.43,1353.15 2065.47,1354.18 2070.51,1355.19 2075.55,1356.19 2080.59,1357.17 2085.63,1358.13 \n",
       "  2090.67,1359.07 2095.71,1360 2100.75,1360.91 2105.79,1361.81 2110.83,1362.69 2115.87,1363.56 2120.91,1364.41 2125.95,1365.25 2130.99,1366.07 2136.03,1366.88 \n",
       "  2141.07,1367.68 2146.11,1368.46 2151.15,1369.23 2156.19,1369.99 2161.23,1370.74 2166.27,1371.48 2171.31,1372.2 2176.35,1372.91 2181.39,1373.61 2186.43,1374.3 \n",
       "  2191.47,1374.98 2196.51,1375.65 2201.55,1376.31 2206.59,1376.96 2211.63,1377.59 2216.67,1378.22 2221.71,1378.84 2226.75,1379.45 2231.79,1380.05 2236.83,1380.64 \n",
       "  2241.87,1381.23 2246.91,1381.8 2251.95,1382.37 2256.99,1382.92 2262.03,1383.47 2267.07,1384.02 2272.11,1384.55 2277.15,1385.07 2282.19,1385.59 2287.23,1386.1 \n",
       "  2292.27,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1386.61 281.275,1385.92 286.315,1385.23 291.356,1384.54 296.396,1383.85 301.436,1383.17 306.476,1382.48 311.516,1381.79 316.556,1381.1 321.596,1380.41 \n",
       "  326.636,1379.72 331.676,1379.04 336.716,1378.35 341.757,1377.66 346.797,1376.97 351.837,1376.28 356.877,1375.59 361.917,1374.9 366.957,1374.22 371.997,1373.53 \n",
       "  377.037,1372.84 382.077,1372.15 387.117,1371.46 392.158,1370.77 397.198,1370.09 402.238,1369.4 407.278,1368.71 412.318,1368.02 417.358,1367.33 422.398,1366.64 \n",
       "  427.438,1365.96 432.478,1365.27 437.518,1364.58 442.559,1363.89 447.599,1363.2 452.639,1362.51 457.679,1361.82 462.719,1361.14 467.759,1360.45 472.799,1359.76 \n",
       "  477.839,1359.07 482.879,1357.68 487.919,1356.29 492.96,1354.89 498,1353.5 503.04,1352.11 508.08,1350.72 513.12,1349.33 518.16,1347.93 523.2,1346.54 \n",
       "  528.24,1345.15 533.28,1343.76 538.32,1342.37 543.36,1340.97 548.401,1339.58 553.441,1338.19 558.481,1336.8 563.521,1335.4 568.561,1334.01 573.601,1332.62 \n",
       "  578.641,1331.23 583.681,1329.84 588.721,1328.44 593.761,1327.05 598.802,1325.66 603.842,1324.27 608.882,1322.88 613.922,1321.48 618.962,1320.09 624.002,1318.7 \n",
       "  629.042,1317.31 634.082,1315.91 639.122,1314.52 644.162,1313.13 649.203,1311.74 654.243,1310.35 659.283,1308.95 664.323,1307.56 669.363,1306.17 674.403,1304.78 \n",
       "  679.443,1303.39 684.483,1300 689.523,1296.62 694.563,1293.24 699.604,1289.86 704.644,1286.48 709.684,1283.1 714.724,1279.72 719.764,1276.34 724.804,1272.96 \n",
       "  729.844,1269.58 734.884,1266.2 739.924,1262.81 744.964,1259.43 750.005,1256.05 755.045,1252.67 760.085,1249.29 765.125,1245.91 770.165,1242.53 775.205,1239.15 \n",
       "  780.245,1235.77 785.285,1232.39 790.325,1229.01 795.365,1225.62 800.406,1222.24 805.446,1218.86 810.486,1215.48 815.526,1212.1 820.566,1208.72 825.606,1205.34 \n",
       "  830.646,1201.96 835.686,1198.58 840.726,1195.2 845.766,1191.82 850.807,1188.43 855.847,1185.05 860.887,1181.67 865.927,1178.29 870.967,1174.91 876.007,1171.53 \n",
       "  881.047,1168.15 886.087,1158.01 891.127,1147.86 896.167,1137.72 901.207,1127.58 906.248,1117.43 911.288,1107.29 916.328,1097.15 921.368,1087.01 926.408,1076.86 \n",
       "  931.448,1066.72 936.488,1056.58 941.528,1046.44 946.568,1036.29 951.608,1026.15 956.649,1016.01 961.689,1005.86 966.729,995.722 971.769,985.579 976.809,975.436 \n",
       "  981.849,965.294 986.889,955.151 991.929,945.008 996.969,934.865 1002.01,924.723 1007.05,914.58 1012.09,904.437 1017.13,894.294 1022.17,884.151 1027.21,874.009 \n",
       "  1032.25,863.866 1037.29,853.723 1042.33,843.58 1047.37,833.438 1052.41,823.295 1057.45,813.152 1062.49,803.009 1067.53,792.867 1072.57,782.724 1077.61,772.581 \n",
       "  1082.65,762.438 1087.69,745.534 1092.73,728.629 1097.77,711.725 1102.81,694.82 1107.85,677.915 1112.89,661.011 1117.93,644.106 1122.97,627.202 1128.01,610.297 \n",
       "  1133.05,593.392 1138.09,576.488 1143.13,559.583 1148.17,542.679 1153.21,525.774 1158.25,508.87 1163.29,491.965 1168.33,475.06 1173.37,458.156 1178.41,441.251 \n",
       "  1183.45,424.347 1188.49,407.442 1193.53,390.537 1198.57,373.633 1203.61,356.728 1208.65,339.824 1213.69,322.919 1218.73,306.014 1223.77,289.11 1228.81,272.205 \n",
       "  1233.85,255.301 1238.89,238.396 1243.93,221.491 1248.97,204.587 1254.01,187.682 1259.05,170.778 1264.09,153.873 1269.13,136.968 1274.17,120.064 1279.21,103.159 \n",
       "  1284.25,86.2547 1289.3,103.159 1294.34,120.064 1299.38,136.968 1304.42,153.873 1309.46,170.778 1314.5,187.682 1319.54,204.587 1324.58,221.491 1329.62,238.396 \n",
       "  1334.66,255.301 1339.7,272.205 1344.74,289.11 1349.78,306.014 1354.82,322.919 1359.86,339.824 1364.9,356.728 1369.94,373.633 1374.98,390.537 1380.02,407.442 \n",
       "  1385.06,424.347 1390.1,441.251 1395.14,458.156 1400.18,475.06 1405.22,491.965 1410.26,508.87 1415.3,525.774 1420.34,542.679 1425.38,559.583 1430.42,576.488 \n",
       "  1435.46,593.392 1440.5,610.297 1445.54,627.202 1450.58,644.106 1455.62,661.011 1460.66,677.915 1465.7,694.82 1470.74,711.725 1475.78,728.629 1480.82,745.534 \n",
       "  1485.86,762.438 1490.9,772.581 1495.94,782.724 1500.98,792.867 1506.02,803.009 1511.06,813.152 1516.1,823.295 1521.14,833.438 1526.18,843.58 1531.22,853.723 \n",
       "  1536.26,863.866 1541.3,874.009 1546.34,884.151 1551.38,894.294 1556.42,904.437 1561.46,914.58 1566.5,924.723 1571.54,934.865 1576.58,945.008 1581.62,955.151 \n",
       "  1586.66,965.294 1591.7,975.436 1596.74,985.579 1601.78,995.722 1606.82,1005.86 1611.86,1016.01 1616.9,1026.15 1621.94,1036.29 1626.98,1046.44 1632.02,1056.58 \n",
       "  1637.06,1066.72 1642.1,1076.86 1647.14,1087.01 1652.18,1097.15 1657.22,1107.29 1662.26,1117.43 1667.3,1127.58 1672.34,1137.72 1677.38,1147.86 1682.42,1158.01 \n",
       "  1687.46,1168.15 1692.5,1171.53 1697.54,1174.91 1702.58,1178.29 1707.62,1181.67 1712.66,1185.05 1717.7,1188.43 1722.74,1191.82 1727.78,1195.2 1732.82,1198.58 \n",
       "  1737.86,1201.96 1742.9,1205.34 1747.94,1208.72 1752.98,1212.1 1758.02,1215.48 1763.06,1218.86 1768.1,1222.24 1773.14,1225.62 1778.18,1229.01 1783.22,1232.39 \n",
       "  1788.26,1235.77 1793.3,1239.15 1798.35,1242.53 1803.39,1245.91 1808.43,1249.29 1813.47,1252.67 1818.51,1256.05 1823.55,1259.43 1828.59,1262.81 1833.63,1266.2 \n",
       "  1838.67,1269.58 1843.71,1272.96 1848.75,1276.34 1853.79,1279.72 1858.83,1283.1 1863.87,1286.48 1868.91,1289.86 1873.95,1293.24 1878.99,1296.62 1884.03,1300 \n",
       "  1889.07,1303.39 1894.11,1304.78 1899.15,1306.17 1904.19,1307.56 1909.23,1308.95 1914.27,1310.35 1919.31,1311.74 1924.35,1313.13 1929.39,1314.52 1934.43,1315.91 \n",
       "  1939.47,1317.31 1944.51,1318.7 1949.55,1320.09 1954.59,1321.48 1959.63,1322.88 1964.67,1324.27 1969.71,1325.66 1974.75,1327.05 1979.79,1328.44 1984.83,1329.84 \n",
       "  1989.87,1331.23 1994.91,1332.62 1999.95,1334.01 2004.99,1335.4 2010.03,1336.8 2015.07,1338.19 2020.11,1339.58 2025.15,1340.97 2030.19,1342.37 2035.23,1343.76 \n",
       "  2040.27,1345.15 2045.31,1346.54 2050.35,1347.93 2055.39,1349.33 2060.43,1350.72 2065.47,1352.11 2070.51,1353.5 2075.55,1354.89 2080.59,1356.29 2085.63,1357.68 \n",
       "  2090.67,1359.07 2095.71,1359.76 2100.75,1360.45 2105.79,1361.14 2110.83,1361.82 2115.87,1362.51 2120.91,1363.2 2125.95,1363.89 2130.99,1364.58 2136.03,1365.27 \n",
       "  2141.07,1365.96 2146.11,1366.64 2151.15,1367.33 2156.19,1368.02 2161.23,1368.71 2166.27,1369.4 2171.31,1370.09 2176.35,1370.77 2181.39,1371.46 2186.43,1372.15 \n",
       "  2191.47,1372.84 2196.51,1373.53 2201.55,1374.22 2206.59,1374.9 2211.63,1375.59 2216.67,1376.28 2221.71,1376.97 2226.75,1377.66 2231.79,1378.35 2236.83,1379.04 \n",
       "  2241.87,1379.72 2246.91,1380.41 2251.95,1381.1 2256.99,1381.79 2262.03,1382.48 2267.07,1383.17 2272.11,1383.85 2277.15,1384.54 2282.19,1385.23 2287.23,1385.92 \n",
       "  2292.27,1386.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8102)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  276.235,1386.61 477.839,1359.07 679.443,1303.39 881.047,1168.15 1082.65,762.438 1284.25,86.2547 1485.86,762.438 1687.46,1168.15 1889.07,1303.39 2090.67,1359.07 \n",
       "  2292.27,1386.61 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"276.235\" cy=\"1386.61\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"477.839\" cy=\"1359.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"679.443\" cy=\"1303.39\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"881.047\" cy=\"1168.15\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"1082.65\" cy=\"762.438\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"1284.25\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"1485.86\" cy=\"762.438\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"1687.46\" cy=\"1168.15\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"1889.07\" cy=\"1303.39\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"2090.67\" cy=\"1359.07\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8102)\" cx=\"2292.27\" cy=\"1386.61\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<path clip-path=\"url(#clip8100)\" d=\"\n",
       "M1425.46 372.684 L2280.76 372.684 L2280.76 130.764 L1425.46 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1425.46,372.684 2280.76,372.684 2280.76,130.764 1425.46,130.764 1425.46,372.684 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,191.244 1593.46,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 208.744)\" x=\"1617.46\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,251.724 1593.46,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 269.224)\" x=\"1617.46\" y=\"269.224\">Polynomial interpolation 3 sp</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8100)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,312.204 1593.46,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip8100)\" cx=\"1533.46\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip8100)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 329.704)\" x=\"1617.46\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=3}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx, yy_int, yy_ori, xo, yo = polyint_3()\n",
    "Plots.plot(xx,yy_ori, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Original function\")\n",
    "Plots.plot!(xx,yy_int,lw=2,label=\"Polynomial interpolation 3 sp\")\n",
    "Plots.plot!(xo,yo,lw=0,markersize=4,markershape=:circle,label=\"Points\")\n",
    "# Plots.savefig(\"3.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 误差估计\n",
    "\n",
    "误差估计中，给出$f(x)$与分段线性插值函数$L_{10,sp}(x)$的误差随$x$的变化曲线，如下图所示。其中误差的最大值为\n",
    "$$\\max|\\left(f(x)-L_{10,sp}(x)\\right)|=0.06743119266055031$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.06743119266055031\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip8400\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip8400)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip8401\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n  </clipPath>\n</defs>\n<path clip-path=\"url(#clip8400)\" d=\"\nM242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<defs>\n  <clipPath id=\"clip8402\">\n    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n  </clipPath>\n</defs>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  302.24,1425.62 302.24,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  799.938,1425.62 799.938,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,1333.38 2352.76,1333.38 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,1021.6 2352.76,1021.6 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,709.818 2352.76,709.818 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,398.036 2352.76,398.036 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  242.516,86.2547 2352.76,86.2547 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 2352.76,1425.62 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1425.62 242.516,47.2441 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  302.24,1425.62 302.24,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  799.938,1425.62 799.938,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1297.64,1425.62 1297.64,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1795.33,1425.62 1795.33,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  2293.03,1425.62 2293.03,1409.08 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1333.38 267.839,1333.38 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,1021.6 267.839,1021.6 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,709.818 267.839,709.818 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,398.036 267.839,398.036 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  242.516,86.2547 267.839,86.2547 \n  \"/>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1350.88)\" x=\"218.516\" y=\"1350.88\">0.00</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1039.1)\" x=\"218.516\" y=\"1039.1\">0.25</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 727.318)\" x=\"218.516\" y=\"727.318\">0.50</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 415.536)\" x=\"218.516\" y=\"415.536\">0.75</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n</g>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n</g>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1285.42 307.217,1284.95 312.194,1284.48 317.171,1284 322.148,1283.52 327.125,1283.02 332.102,1282.53 337.079,1282.02 342.056,1281.5 347.033,1280.98 \n  352.01,1280.45 356.987,1279.92 361.964,1279.37 366.941,1278.82 371.918,1278.25 376.895,1277.68 381.872,1277.1 386.849,1276.51 391.826,1275.92 396.803,1275.31 \n  401.78,1274.69 406.757,1274.07 411.734,1273.43 416.711,1272.78 421.688,1272.13 426.665,1271.46 431.642,1270.78 436.619,1270.09 441.596,1269.39 446.573,1268.68 \n  451.55,1267.96 456.527,1267.22 461.504,1266.48 466.481,1265.72 471.458,1264.94 476.434,1264.16 481.411,1263.36 486.388,1262.54 491.365,1261.72 496.342,1260.88 \n  501.319,1260.02 506.296,1259.15 511.273,1258.26 516.25,1257.36 521.227,1256.45 526.204,1255.51 531.181,1254.56 536.158,1253.59 541.135,1252.61 546.112,1251.61 \n  551.089,1250.58 556.066,1249.54 561.043,1248.49 566.02,1247.41 570.997,1246.31 575.974,1245.19 580.951,1244.05 585.928,1242.88 590.905,1241.7 595.882,1240.49 \n  600.859,1239.26 605.836,1238 610.813,1236.72 615.79,1235.42 620.767,1234.09 625.744,1232.73 630.721,1231.35 635.698,1229.93 640.675,1228.49 645.652,1227.02 \n  650.629,1225.52 655.606,1223.99 660.583,1222.43 665.56,1220.83 670.537,1219.2 675.514,1217.54 680.491,1215.84 685.468,1214.1 690.445,1212.33 695.422,1210.52 \n  700.399,1208.67 705.376,1206.78 710.353,1204.84 715.33,1202.87 720.306,1200.85 725.283,1198.78 730.26,1196.67 735.237,1194.51 740.214,1192.3 745.191,1190.04 \n  750.168,1187.73 755.145,1185.37 760.122,1182.94 765.099,1180.47 770.076,1177.93 775.053,1175.33 780.03,1172.67 785.007,1169.94 789.984,1167.15 794.961,1164.29 \n  799.938,1161.36 804.915,1158.36 809.892,1155.28 814.869,1152.13 819.846,1148.9 824.823,1145.58 829.8,1142.18 834.777,1138.69 839.754,1135.11 844.731,1131.44 \n  849.708,1127.67 854.685,1123.8 859.662,1119.83 864.639,1115.76 869.616,1111.57 874.593,1107.27 879.57,1102.86 884.547,1098.32 889.524,1093.66 894.501,1088.88 \n  899.478,1083.96 904.455,1078.9 909.432,1073.7 914.409,1068.35 919.386,1062.86 924.363,1057.2 929.34,1051.39 934.317,1045.4 939.294,1039.25 944.271,1032.91 \n  949.248,1026.4 954.225,1019.69 959.202,1012.78 964.179,1005.68 969.155,998.358 974.132,990.823 979.109,983.065 984.086,975.076 989.063,966.849 994.04,958.376 \n  999.017,949.65 1003.99,940.663 1008.97,931.407 1013.95,921.873 1018.93,912.055 1023.9,901.943 1028.88,891.53 1033.86,880.807 1038.83,869.766 1043.81,858.399 \n  1048.79,846.698 1053.76,834.655 1058.74,822.264 1063.72,809.516 1068.7,796.405 1073.67,782.926 1078.65,769.071 1083.63,754.836 1088.6,740.218 1093.58,725.212 \n  1098.56,709.818 1103.53,694.034 1108.51,677.862 1113.49,661.302 1118.46,644.361 1123.44,627.044 1128.42,609.36 1133.4,591.32 1138.37,572.938 1143.35,554.232 \n  1148.33,535.22 1153.3,515.928 1158.28,496.384 1163.26,476.618 1168.23,456.667 1173.21,436.571 1178.19,416.377 1183.17,396.133 1188.14,375.895 1193.12,355.722 \n  1198.1,335.68 1203.07,315.838 1208.05,296.27 1213.03,277.054 1218,258.272 1222.98,240.01 1227.96,222.355 1232.94,205.398 1237.91,189.228 1242.89,173.938 \n  1247.87,159.615 1252.84,146.348 1257.82,134.221 1262.8,123.313 1267.77,113.698 1272.75,105.441 1277.73,98.6025 1282.71,93.2305 1287.68,89.3647 1292.66,87.0337 \n  1297.64,86.2547 1302.61,87.0337 1307.59,89.3647 1312.57,93.2305 1317.54,98.6025 1322.52,105.441 1327.5,113.698 1332.48,123.313 1337.45,134.221 1342.43,146.348 \n  1347.41,159.615 1352.38,173.938 1357.36,189.228 1362.34,205.398 1367.31,222.355 1372.29,240.01 1377.27,258.272 1382.24,277.054 1387.22,296.27 1392.2,315.838 \n  1397.18,335.68 1402.15,355.722 1407.13,375.895 1412.11,396.133 1417.08,416.377 1422.06,436.571 1427.04,456.667 1432.01,476.618 1436.99,496.384 1441.97,515.928 \n  1446.95,535.22 1451.92,554.232 1456.9,572.938 1461.88,591.32 1466.85,609.36 1471.83,627.044 1476.81,644.361 1481.78,661.302 1486.76,677.862 1491.74,694.034 \n  1496.72,709.818 1501.69,725.212 1506.67,740.218 1511.65,754.836 1516.62,769.071 1521.6,782.926 1526.58,796.405 1531.55,809.516 1536.53,822.264 1541.51,834.655 \n  1546.49,846.698 1551.46,858.399 1556.44,869.766 1561.42,880.807 1566.39,891.53 1571.37,901.943 1576.35,912.055 1581.32,921.873 1586.3,931.407 1591.28,940.663 \n  1596.25,949.65 1601.23,958.376 1606.21,966.849 1611.19,975.076 1616.16,983.065 1621.14,990.823 1626.12,998.358 1631.09,1005.68 1636.07,1012.78 1641.05,1019.69 \n  1646.02,1026.4 1651,1032.91 1655.98,1039.25 1660.96,1045.4 1665.93,1051.39 1670.91,1057.2 1675.89,1062.86 1680.86,1068.35 1685.84,1073.7 1690.82,1078.9 \n  1695.79,1083.96 1700.77,1088.88 1705.75,1093.66 1710.73,1098.32 1715.7,1102.86 1720.68,1107.27 1725.66,1111.57 1730.63,1115.76 1735.61,1119.83 1740.59,1123.8 \n  1745.56,1127.67 1750.54,1131.44 1755.52,1135.11 1760.5,1138.69 1765.47,1142.18 1770.45,1145.58 1775.43,1148.9 1780.4,1152.13 1785.38,1155.28 1790.36,1158.36 \n  1795.33,1161.36 1800.31,1164.29 1805.29,1167.15 1810.27,1169.94 1815.24,1172.67 1820.22,1175.33 1825.2,1177.93 1830.17,1180.47 1835.15,1182.94 1840.13,1185.37 \n  1845.1,1187.73 1850.08,1190.04 1855.06,1192.3 1860.03,1194.51 1865.01,1196.67 1869.99,1198.78 1874.97,1200.85 1879.94,1202.87 1884.92,1204.84 1889.9,1206.78 \n  1894.87,1208.67 1899.85,1210.52 1904.83,1212.33 1909.8,1214.1 1914.78,1215.84 1919.76,1217.54 1924.74,1219.2 1929.71,1220.83 1934.69,1222.43 1939.67,1223.99 \n  1944.64,1225.52 1949.62,1227.02 1954.6,1228.49 1959.57,1229.93 1964.55,1231.35 1969.53,1232.73 1974.51,1234.09 1979.48,1235.42 1984.46,1236.72 1989.44,1238 \n  1994.41,1239.26 1999.39,1240.49 2004.37,1241.7 2009.34,1242.88 2014.32,1244.05 2019.3,1245.19 2024.28,1246.31 2029.25,1247.41 2034.23,1248.49 2039.21,1249.54 \n  2044.18,1250.58 2049.16,1251.61 2054.14,1252.61 2059.11,1253.59 2064.09,1254.56 2069.07,1255.51 2074.05,1256.45 2079.02,1257.36 2084,1258.26 2088.98,1259.15 \n  2093.95,1260.02 2098.93,1260.88 2103.91,1261.72 2108.88,1262.54 2113.86,1263.36 2118.84,1264.16 2123.81,1264.94 2128.79,1265.72 2133.77,1266.48 2138.75,1267.22 \n  2143.72,1267.96 2148.7,1268.68 2153.68,1269.39 2158.65,1270.09 2163.63,1270.78 2168.61,1271.46 2173.58,1272.13 2178.56,1272.78 2183.54,1273.43 2188.52,1274.07 \n  2193.49,1274.69 2198.47,1275.31 2203.45,1275.92 2208.42,1276.51 2213.4,1277.1 2218.38,1277.68 2223.35,1278.25 2228.33,1278.82 2233.31,1279.37 2238.29,1279.92 \n  2243.26,1280.45 2248.24,1280.98 2253.22,1281.5 2258.19,1282.02 2263.17,1282.53 2268.15,1283.02 2273.12,1283.52 2278.1,1284 2283.08,1284.48 2288.06,1284.95 \n  2293.03,1285.42 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1285.42 307.217,1284.78 312.194,1284.15 317.171,1283.51 322.148,1282.88 327.125,1282.24 332.102,1281.61 337.079,1280.97 342.056,1280.34 347.033,1279.7 \n  352.01,1279.07 356.987,1278.43 361.964,1277.8 366.941,1277.16 371.918,1276.53 376.895,1275.89 381.872,1275.26 386.849,1274.62 391.826,1273.99 396.803,1273.35 \n  401.78,1272.72 406.757,1272.08 411.734,1271.45 416.711,1270.81 421.688,1270.18 426.665,1269.54 431.642,1268.91 436.619,1268.27 441.596,1267.64 446.573,1267 \n  451.55,1266.37 456.527,1265.73 461.504,1265.1 466.481,1264.47 471.458,1263.83 476.434,1263.2 481.411,1262.56 486.388,1261.93 491.365,1261.29 496.342,1260.66 \n  501.319,1260.02 506.296,1258.74 511.273,1257.45 516.25,1256.17 521.227,1254.89 526.204,1253.6 531.181,1252.32 536.158,1251.03 541.135,1249.75 546.112,1248.47 \n  551.089,1247.18 556.066,1245.9 561.043,1244.62 566.02,1243.33 570.997,1242.05 575.974,1240.76 580.951,1239.48 585.928,1238.2 590.905,1236.91 595.882,1235.63 \n  600.859,1234.34 605.836,1233.06 610.813,1231.78 615.79,1230.49 620.767,1229.21 625.744,1227.93 630.721,1226.64 635.698,1225.36 640.675,1224.07 645.652,1222.79 \n  650.629,1221.51 655.606,1220.22 660.583,1218.94 665.56,1217.66 670.537,1216.37 675.514,1215.09 680.491,1213.8 685.468,1212.52 690.445,1211.24 695.422,1209.95 \n  700.399,1208.67 705.376,1205.55 710.353,1202.43 715.33,1199.32 720.306,1196.2 725.283,1193.08 730.26,1189.96 735.237,1186.84 740.214,1183.73 745.191,1180.61 \n  750.168,1177.49 755.145,1174.37 760.122,1171.26 765.099,1168.14 770.076,1165.02 775.053,1161.9 780.03,1158.78 785.007,1155.67 789.984,1152.55 794.961,1149.43 \n  799.938,1146.31 804.915,1143.19 809.892,1140.08 814.869,1136.96 819.846,1133.84 824.823,1130.72 829.8,1127.61 834.777,1124.49 839.754,1121.37 844.731,1118.25 \n  849.708,1115.13 854.685,1112.02 859.662,1108.9 864.639,1105.78 869.616,1102.66 874.593,1099.55 879.57,1096.43 884.547,1093.31 889.524,1090.19 894.501,1087.07 \n  899.478,1083.96 904.455,1074.6 909.432,1065.25 914.409,1055.9 919.386,1046.54 924.363,1037.19 929.34,1027.84 934.317,1018.48 939.294,1009.13 944.271,999.775 \n  949.248,990.422 954.225,981.068 959.202,971.715 964.179,962.361 969.155,953.008 974.132,943.654 979.109,934.301 984.086,924.947 989.063,915.594 994.04,906.241 \n  999.017,896.887 1003.99,887.534 1008.97,878.18 1013.95,868.827 1018.93,859.473 1023.9,850.12 1028.88,840.766 1033.86,831.413 1038.83,822.06 1043.81,812.706 \n  1048.79,803.353 1053.76,793.999 1058.74,784.646 1063.72,775.292 1068.7,765.939 1073.67,756.585 1078.65,747.232 1083.63,737.878 1088.6,728.525 1093.58,719.172 \n  1098.56,709.818 1103.53,694.229 1108.51,678.64 1113.49,663.051 1118.46,647.462 1123.44,631.873 1128.42,616.284 1133.4,600.695 1138.37,585.105 1143.35,569.516 \n  1148.33,553.927 1153.3,538.338 1158.28,522.749 1163.26,507.16 1168.23,491.571 1173.21,475.982 1178.19,460.393 1183.17,444.804 1188.14,429.215 1193.12,413.625 \n  1198.1,398.036 1203.07,382.447 1208.05,366.858 1213.03,351.269 1218,335.68 1222.98,320.091 1227.96,304.502 1232.94,288.913 1237.91,273.324 1242.89,257.735 \n  1247.87,242.146 1252.84,226.556 1257.82,210.967 1262.8,195.378 1267.77,179.789 1272.75,164.2 1277.73,148.611 1282.71,133.022 1287.68,117.433 1292.66,101.844 \n  1297.64,86.2547 1302.61,101.844 1307.59,117.433 1312.57,133.022 1317.54,148.611 1322.52,164.2 1327.5,179.789 1332.48,195.378 1337.45,210.967 1342.43,226.556 \n  1347.41,242.146 1352.38,257.735 1357.36,273.324 1362.34,288.913 1367.31,304.502 1372.29,320.091 1377.27,335.68 1382.24,351.269 1387.22,366.858 1392.2,382.447 \n  1397.18,398.036 1402.15,413.625 1407.13,429.215 1412.11,444.804 1417.08,460.393 1422.06,475.982 1427.04,491.571 1432.01,507.16 1436.99,522.749 1441.97,538.338 \n  1446.95,553.927 1451.92,569.516 1456.9,585.105 1461.88,600.695 1466.85,616.284 1471.83,631.873 1476.81,647.462 1481.78,663.051 1486.76,678.64 1491.74,694.229 \n  1496.72,709.818 1501.69,719.172 1506.67,728.525 1511.65,737.878 1516.62,747.232 1521.6,756.585 1526.58,765.939 1531.55,775.292 1536.53,784.646 1541.51,793.999 \n  1546.49,803.353 1551.46,812.706 1556.44,822.06 1561.42,831.413 1566.39,840.766 1571.37,850.12 1576.35,859.473 1581.32,868.827 1586.3,878.18 1591.28,887.534 \n  1596.25,896.887 1601.23,906.241 1606.21,915.594 1611.19,924.947 1616.16,934.301 1621.14,943.654 1626.12,953.008 1631.09,962.361 1636.07,971.715 1641.05,981.068 \n  1646.02,990.422 1651,999.775 1655.98,1009.13 1660.96,1018.48 1665.93,1027.84 1670.91,1037.19 1675.89,1046.54 1680.86,1055.9 1685.84,1065.25 1690.82,1074.6 \n  1695.79,1083.96 1700.77,1087.07 1705.75,1090.19 1710.73,1093.31 1715.7,1096.43 1720.68,1099.55 1725.66,1102.66 1730.63,1105.78 1735.61,1108.9 1740.59,1112.02 \n  1745.56,1115.13 1750.54,1118.25 1755.52,1121.37 1760.5,1124.49 1765.47,1127.61 1770.45,1130.72 1775.43,1133.84 1780.4,1136.96 1785.38,1140.08 1790.36,1143.19 \n  1795.33,1146.31 1800.31,1149.43 1805.29,1152.55 1810.27,1155.67 1815.24,1158.78 1820.22,1161.9 1825.2,1165.02 1830.17,1168.14 1835.15,1171.26 1840.13,1174.37 \n  1845.1,1177.49 1850.08,1180.61 1855.06,1183.73 1860.03,1186.84 1865.01,1189.96 1869.99,1193.08 1874.97,1196.2 1879.94,1199.32 1884.92,1202.43 1889.9,1205.55 \n  1894.87,1208.67 1899.85,1209.95 1904.83,1211.24 1909.8,1212.52 1914.78,1213.8 1919.76,1215.09 1924.74,1216.37 1929.71,1217.66 1934.69,1218.94 1939.67,1220.22 \n  1944.64,1221.51 1949.62,1222.79 1954.6,1224.07 1959.57,1225.36 1964.55,1226.64 1969.53,1227.93 1974.51,1229.21 1979.48,1230.49 1984.46,1231.78 1989.44,1233.06 \n  1994.41,1234.34 1999.39,1235.63 2004.37,1236.91 2009.34,1238.2 2014.32,1239.48 2019.3,1240.76 2024.28,1242.05 2029.25,1243.33 2034.23,1244.62 2039.21,1245.9 \n  2044.18,1247.18 2049.16,1248.47 2054.14,1249.75 2059.11,1251.03 2064.09,1252.32 2069.07,1253.6 2074.05,1254.89 2079.02,1256.17 2084,1257.45 2088.98,1258.74 \n  2093.95,1260.02 2098.93,1260.66 2103.91,1261.29 2108.88,1261.93 2113.86,1262.56 2118.84,1263.2 2123.81,1263.83 2128.79,1264.47 2133.77,1265.1 2138.75,1265.73 \n  2143.72,1266.37 2148.7,1267 2153.68,1267.64 2158.65,1268.27 2163.63,1268.91 2168.61,1269.54 2173.58,1270.18 2178.56,1270.81 2183.54,1271.45 2188.52,1272.08 \n  2193.49,1272.72 2198.47,1273.35 2203.45,1273.99 2208.42,1274.62 2213.4,1275.26 2218.38,1275.89 2223.35,1276.53 2228.33,1277.16 2233.31,1277.8 2238.29,1278.43 \n  2243.26,1279.07 2248.24,1279.7 2253.22,1280.34 2258.19,1280.97 2263.17,1281.61 2268.15,1282.24 2273.12,1282.88 2278.1,1283.51 2283.08,1284.15 2288.06,1284.78 \n  2293.03,1285.42 \n  \"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  302.24,1285.42 501.319,1260.02 700.399,1208.67 899.478,1083.96 1098.56,709.818 1297.64,86.2547 1496.72,709.818 1695.79,1083.96 1894.87,1208.67 2093.95,1260.02 \n  2293.03,1285.42 \n  \"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"302.24\" cy=\"1285.42\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"501.319\" cy=\"1260.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"700.399\" cy=\"1208.67\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"899.478\" cy=\"1083.96\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"1098.56\" cy=\"709.818\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"1496.72\" cy=\"709.818\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"1695.79\" cy=\"1083.96\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"1894.87\" cy=\"1208.67\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"2093.95\" cy=\"1260.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<circle clip-path=\"url(#clip8402)\" cx=\"2293.03\" cy=\"1285.42\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  302.24,1333.38 307.217,1333.55 312.194,1333.72 317.171,1333.87 322.148,1334.02 327.125,1334.17 332.102,1334.3 337.079,1334.43 342.056,1334.55 347.033,1334.66 \n  352.01,1334.77 356.987,1334.87 361.964,1334.95 366.941,1335.04 371.918,1335.11 376.895,1335.17 381.872,1335.23 386.849,1335.27 391.826,1335.31 396.803,1335.34 \n  401.78,1335.36 406.757,1335.37 411.734,1335.36 416.711,1335.35 421.688,1335.33 426.665,1335.3 431.642,1335.26 436.619,1335.2 441.596,1335.14 446.573,1335.06 \n  451.55,1334.97 456.527,1334.87 461.504,1334.76 466.481,1334.63 471.458,1334.49 476.434,1334.34 481.411,1334.18 486.388,1334 491.365,1333.81 496.342,1333.6 \n  501.319,1333.38 506.296,1333.79 511.273,1334.19 516.25,1334.58 521.227,1334.94 526.204,1335.29 531.181,1335.62 536.158,1335.94 541.135,1336.24 546.112,1336.52 \n  551.089,1336.78 556.066,1337.03 561.043,1337.25 566.02,1337.46 570.997,1337.64 575.974,1337.8 580.951,1337.95 585.928,1338.07 590.905,1338.17 595.882,1338.24 \n  600.859,1338.3 605.836,1338.32 610.813,1338.33 615.79,1338.31 620.767,1338.26 625.744,1338.19 630.721,1338.09 635.698,1337.96 640.675,1337.8 645.652,1337.61 \n  650.629,1337.4 655.606,1337.15 660.583,1336.87 665.56,1336.56 670.537,1336.21 675.514,1335.83 680.491,1335.42 685.468,1334.96 690.445,1334.48 695.422,1333.95 \n  700.399,1333.38 705.376,1334.61 710.353,1335.79 715.33,1336.94 720.306,1338.03 725.283,1339.09 730.26,1340.09 735.237,1341.05 740.214,1341.96 745.191,1342.82 \n  750.168,1343.62 755.145,1344.37 760.122,1345.07 765.099,1345.71 770.076,1346.29 775.053,1346.81 780.03,1347.27 785.007,1347.66 789.984,1347.99 794.961,1348.25 \n  799.938,1348.43 804.915,1348.55 809.892,1348.59 814.869,1348.55 819.846,1348.44 824.823,1348.24 829.8,1347.95 834.777,1347.58 839.754,1347.12 844.731,1346.57 \n  849.708,1345.92 854.685,1345.17 859.662,1344.32 864.639,1343.36 869.616,1342.29 874.593,1341.11 879.57,1339.81 884.547,1338.4 889.524,1336.85 894.501,1335.18 \n  899.478,1333.38 904.455,1337.68 909.432,1341.83 914.409,1345.84 919.386,1349.69 924.363,1353.39 929.34,1356.93 934.317,1360.3 939.294,1363.5 944.271,1366.52 \n  949.248,1369.36 954.225,1372 959.202,1374.45 964.179,1376.7 969.155,1378.73 974.132,1380.55 979.109,1382.15 984.086,1383.51 989.063,1384.64 994.04,1385.52 \n  999.017,1386.14 1003.99,1386.51 1008.97,1386.61 1013.95,1386.43 1018.93,1385.96 1023.9,1385.2 1028.88,1384.14 1033.86,1382.78 1038.83,1381.09 1043.81,1379.07 \n  1048.79,1376.73 1053.76,1374.04 1058.74,1371 1063.72,1367.61 1068.7,1363.85 1073.67,1359.72 1078.65,1355.22 1083.63,1350.34 1088.6,1345.07 1093.58,1339.42 \n  1098.56,1333.38 1103.53,1333.19 1108.51,1332.6 1113.49,1331.63 1118.46,1330.28 1123.44,1328.55 1128.42,1326.46 1133.4,1324.01 1138.37,1321.21 1143.35,1318.1 \n  1148.33,1314.67 1153.3,1310.97 1158.28,1307.02 1163.26,1302.84 1168.23,1298.48 1173.21,1293.97 1178.19,1289.37 1183.17,1284.71 1188.14,1280.06 1193.12,1275.48 \n  1198.1,1271.03 1203.07,1266.77 1208.05,1262.79 1213.03,1259.17 1218,1255.97 1222.98,1253.3 1227.96,1251.24 1232.94,1249.87 1237.91,1249.29 1242.89,1249.58 \n  1247.87,1250.85 1252.84,1253.17 1257.82,1256.64 1262.8,1261.32 1267.77,1267.29 1272.75,1274.62 1277.73,1283.37 1282.71,1293.59 1287.68,1305.31 1292.66,1318.57 \n  1297.64,1333.38 1302.61,1318.57 1307.59,1305.31 1312.57,1293.59 1317.54,1283.37 1322.52,1274.62 1327.5,1267.29 1332.48,1261.32 1337.45,1256.64 1342.43,1253.17 \n  1347.41,1250.85 1352.38,1249.58 1357.36,1249.29 1362.34,1249.87 1367.31,1251.24 1372.29,1253.3 1377.27,1255.97 1382.24,1259.17 1387.22,1262.79 1392.2,1266.77 \n  1397.18,1271.03 1402.15,1275.48 1407.13,1280.06 1412.11,1284.71 1417.08,1289.37 1422.06,1293.97 1427.04,1298.48 1432.01,1302.84 1436.99,1307.02 1441.97,1310.97 \n  1446.95,1314.67 1451.92,1318.1 1456.9,1321.21 1461.88,1324.01 1466.85,1326.46 1471.83,1328.55 1476.81,1330.28 1481.78,1331.63 1486.76,1332.6 1491.74,1333.19 \n  1496.72,1333.38 1501.69,1339.42 1506.67,1345.07 1511.65,1350.34 1516.62,1355.22 1521.6,1359.72 1526.58,1363.85 1531.55,1367.61 1536.53,1371 1541.51,1374.04 \n  1546.49,1376.73 1551.46,1379.07 1556.44,1381.09 1561.42,1382.78 1566.39,1384.14 1571.37,1385.2 1576.35,1385.96 1581.32,1386.43 1586.3,1386.61 1591.28,1386.51 \n  1596.25,1386.14 1601.23,1385.52 1606.21,1384.64 1611.19,1383.51 1616.16,1382.15 1621.14,1380.55 1626.12,1378.73 1631.09,1376.7 1636.07,1374.45 1641.05,1372 \n  1646.02,1369.36 1651,1366.52 1655.98,1363.5 1660.96,1360.3 1665.93,1356.93 1670.91,1353.39 1675.89,1349.69 1680.86,1345.84 1685.84,1341.83 1690.82,1337.68 \n  1695.79,1333.38 1700.77,1335.18 1705.75,1336.85 1710.73,1338.4 1715.7,1339.81 1720.68,1341.11 1725.66,1342.29 1730.63,1343.36 1735.61,1344.32 1740.59,1345.17 \n  1745.56,1345.92 1750.54,1346.57 1755.52,1347.12 1760.5,1347.58 1765.47,1347.95 1770.45,1348.24 1775.43,1348.44 1780.4,1348.55 1785.38,1348.59 1790.36,1348.55 \n  1795.33,1348.43 1800.31,1348.25 1805.29,1347.99 1810.27,1347.66 1815.24,1347.27 1820.22,1346.81 1825.2,1346.29 1830.17,1345.71 1835.15,1345.07 1840.13,1344.37 \n  1845.1,1343.62 1850.08,1342.82 1855.06,1341.96 1860.03,1341.05 1865.01,1340.09 1869.99,1339.09 1874.97,1338.03 1879.94,1336.94 1884.92,1335.79 1889.9,1334.61 \n  1894.87,1333.38 1899.85,1333.95 1904.83,1334.48 1909.8,1334.96 1914.78,1335.42 1919.76,1335.83 1924.74,1336.21 1929.71,1336.56 1934.69,1336.87 1939.67,1337.15 \n  1944.64,1337.4 1949.62,1337.61 1954.6,1337.8 1959.57,1337.96 1964.55,1338.09 1969.53,1338.19 1974.51,1338.26 1979.48,1338.31 1984.46,1338.33 1989.44,1338.32 \n  1994.41,1338.3 1999.39,1338.24 2004.37,1338.17 2009.34,1338.07 2014.32,1337.95 2019.3,1337.8 2024.28,1337.64 2029.25,1337.46 2034.23,1337.25 2039.21,1337.03 \n  2044.18,1336.78 2049.16,1336.52 2054.14,1336.24 2059.11,1335.94 2064.09,1335.62 2069.07,1335.29 2074.05,1334.94 2079.02,1334.58 2084,1334.19 2088.98,1333.79 \n  2093.95,1333.38 2098.93,1333.6 2103.91,1333.81 2108.88,1334 2113.86,1334.18 2118.84,1334.34 2123.81,1334.49 2128.79,1334.63 2133.77,1334.76 2138.75,1334.87 \n  2143.72,1334.97 2148.7,1335.06 2153.68,1335.14 2158.65,1335.2 2163.63,1335.26 2168.61,1335.3 2173.58,1335.33 2178.56,1335.35 2183.54,1335.36 2188.52,1335.37 \n  2193.49,1335.36 2198.47,1335.34 2203.45,1335.31 2208.42,1335.27 2213.4,1335.23 2218.38,1335.17 2223.35,1335.11 2228.33,1335.04 2233.31,1334.95 2238.29,1334.87 \n  2243.26,1334.77 2248.24,1334.66 2253.22,1334.55 2258.19,1334.43 2263.17,1334.3 2268.15,1334.17 2273.12,1334.02 2278.1,1333.87 2283.08,1333.72 2288.06,1333.55 \n  2293.03,1333.38 \n  \"/>\n<path clip-path=\"url(#clip8400)\" d=\"\nM1425.46 433.164 L2280.76 433.164 L2280.76 130.764 L1425.46 130.764  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  1425.46,433.164 2280.76,433.164 2280.76,130.764 1425.46,130.764 1425.46,433.164 \n  \"/>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1449.46,191.244 1593.46,191.244 \n  \"/>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 208.744)\" x=\"1617.46\" y=\"208.744\">Original function</text>\n</g>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1449.46,251.724 1593.46,251.724 \n  \"/>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 269.224)\" x=\"1617.46\" y=\"269.224\">Polynomial interpolation 3 sp</text>\n</g>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n  1449.46,312.204 1593.46,312.204 \n  \"/>\n<circle clip-path=\"url(#clip8400)\" cx=\"1533.46\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 329.704)\" x=\"1617.46\" y=\"329.704\">Points</text>\n</g>\n<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n  1449.46,372.684 1593.46,372.684 \n  \"/>\n<g clip-path=\"url(#clip8400)\">\n<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 390.184)\" x=\"1617.46\" y=\"390.184\">Err</text>\n</g>\n</svg>\n",
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip8700\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8700)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8701\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8700)\" d=\"\n",
       "M242.516 1425.62 L2352.76 1425.62 L2352.76 47.2441 L242.516 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8702\">\n",
       "    <rect x=\"242\" y=\"47\" width=\"2111\" height=\"1379\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,1333.38 2352.76,1333.38 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,1021.6 2352.76,1021.6 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,709.818 2352.76,709.818 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,398.036 2352.76,398.036 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  242.516,86.2547 2352.76,86.2547 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 2352.76,1425.62 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1425.62 242.516,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1425.62 302.24,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  799.938,1425.62 799.938,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1297.64,1425.62 1297.64,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1795.33,1425.62 1795.33,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2293.03,1425.62 2293.03,1409.08 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1333.38 267.839,1333.38 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,1021.6 267.839,1021.6 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,709.818 267.839,709.818 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,398.036 267.839,398.036 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  242.516,86.2547 267.839,86.2547 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 302.24, 1479.62)\" x=\"302.24\" y=\"1479.62\">-1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 799.938, 1479.62)\" x=\"799.938\" y=\"1479.62\">-0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1479.62)\" x=\"1297.64\" y=\"1479.62\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1795.33, 1479.62)\" x=\"1795.33\" y=\"1479.62\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2293.03, 1479.62)\" x=\"2293.03\" y=\"1479.62\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1350.88)\" x=\"218.516\" y=\"1350.88\">0.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 1039.1)\" x=\"218.516\" y=\"1039.1\">0.25</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 727.318)\" x=\"218.516\" y=\"727.318\">0.50</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 415.536)\" x=\"218.516\" y=\"415.536\">0.75</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 218.516, 103.755)\" x=\"218.516\" y=\"103.755\">1.00</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1297.64, 1559.48)\" x=\"1297.64\" y=\"1559.48\">x</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 89.2861, 736.431)\" x=\"89.2861\" y=\"736.431\">y</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1285.42 307.217,1284.95 312.194,1284.48 317.171,1284 322.148,1283.52 327.125,1283.02 332.102,1282.53 337.079,1282.02 342.056,1281.5 347.033,1280.98 \n",
       "  352.01,1280.45 356.987,1279.92 361.964,1279.37 366.941,1278.82 371.918,1278.25 376.895,1277.68 381.872,1277.1 386.849,1276.51 391.826,1275.92 396.803,1275.31 \n",
       "  401.78,1274.69 406.757,1274.07 411.734,1273.43 416.711,1272.78 421.688,1272.13 426.665,1271.46 431.642,1270.78 436.619,1270.09 441.596,1269.39 446.573,1268.68 \n",
       "  451.55,1267.96 456.527,1267.22 461.504,1266.48 466.481,1265.72 471.458,1264.94 476.434,1264.16 481.411,1263.36 486.388,1262.54 491.365,1261.72 496.342,1260.88 \n",
       "  501.319,1260.02 506.296,1259.15 511.273,1258.26 516.25,1257.36 521.227,1256.45 526.204,1255.51 531.181,1254.56 536.158,1253.59 541.135,1252.61 546.112,1251.61 \n",
       "  551.089,1250.58 556.066,1249.54 561.043,1248.49 566.02,1247.41 570.997,1246.31 575.974,1245.19 580.951,1244.05 585.928,1242.88 590.905,1241.7 595.882,1240.49 \n",
       "  600.859,1239.26 605.836,1238 610.813,1236.72 615.79,1235.42 620.767,1234.09 625.744,1232.73 630.721,1231.35 635.698,1229.93 640.675,1228.49 645.652,1227.02 \n",
       "  650.629,1225.52 655.606,1223.99 660.583,1222.43 665.56,1220.83 670.537,1219.2 675.514,1217.54 680.491,1215.84 685.468,1214.1 690.445,1212.33 695.422,1210.52 \n",
       "  700.399,1208.67 705.376,1206.78 710.353,1204.84 715.33,1202.87 720.306,1200.85 725.283,1198.78 730.26,1196.67 735.237,1194.51 740.214,1192.3 745.191,1190.04 \n",
       "  750.168,1187.73 755.145,1185.37 760.122,1182.94 765.099,1180.47 770.076,1177.93 775.053,1175.33 780.03,1172.67 785.007,1169.94 789.984,1167.15 794.961,1164.29 \n",
       "  799.938,1161.36 804.915,1158.36 809.892,1155.28 814.869,1152.13 819.846,1148.9 824.823,1145.58 829.8,1142.18 834.777,1138.69 839.754,1135.11 844.731,1131.44 \n",
       "  849.708,1127.67 854.685,1123.8 859.662,1119.83 864.639,1115.76 869.616,1111.57 874.593,1107.27 879.57,1102.86 884.547,1098.32 889.524,1093.66 894.501,1088.88 \n",
       "  899.478,1083.96 904.455,1078.9 909.432,1073.7 914.409,1068.35 919.386,1062.86 924.363,1057.2 929.34,1051.39 934.317,1045.4 939.294,1039.25 944.271,1032.91 \n",
       "  949.248,1026.4 954.225,1019.69 959.202,1012.78 964.179,1005.68 969.155,998.358 974.132,990.823 979.109,983.065 984.086,975.076 989.063,966.849 994.04,958.376 \n",
       "  999.017,949.65 1003.99,940.663 1008.97,931.407 1013.95,921.873 1018.93,912.055 1023.9,901.943 1028.88,891.53 1033.86,880.807 1038.83,869.766 1043.81,858.399 \n",
       "  1048.79,846.698 1053.76,834.655 1058.74,822.264 1063.72,809.516 1068.7,796.405 1073.67,782.926 1078.65,769.071 1083.63,754.836 1088.6,740.218 1093.58,725.212 \n",
       "  1098.56,709.818 1103.53,694.034 1108.51,677.862 1113.49,661.302 1118.46,644.361 1123.44,627.044 1128.42,609.36 1133.4,591.32 1138.37,572.938 1143.35,554.232 \n",
       "  1148.33,535.22 1153.3,515.928 1158.28,496.384 1163.26,476.618 1168.23,456.667 1173.21,436.571 1178.19,416.377 1183.17,396.133 1188.14,375.895 1193.12,355.722 \n",
       "  1198.1,335.68 1203.07,315.838 1208.05,296.27 1213.03,277.054 1218,258.272 1222.98,240.01 1227.96,222.355 1232.94,205.398 1237.91,189.228 1242.89,173.938 \n",
       "  1247.87,159.615 1252.84,146.348 1257.82,134.221 1262.8,123.313 1267.77,113.698 1272.75,105.441 1277.73,98.6025 1282.71,93.2305 1287.68,89.3647 1292.66,87.0337 \n",
       "  1297.64,86.2547 1302.61,87.0337 1307.59,89.3647 1312.57,93.2305 1317.54,98.6025 1322.52,105.441 1327.5,113.698 1332.48,123.313 1337.45,134.221 1342.43,146.348 \n",
       "  1347.41,159.615 1352.38,173.938 1357.36,189.228 1362.34,205.398 1367.31,222.355 1372.29,240.01 1377.27,258.272 1382.24,277.054 1387.22,296.27 1392.2,315.838 \n",
       "  1397.18,335.68 1402.15,355.722 1407.13,375.895 1412.11,396.133 1417.08,416.377 1422.06,436.571 1427.04,456.667 1432.01,476.618 1436.99,496.384 1441.97,515.928 \n",
       "  1446.95,535.22 1451.92,554.232 1456.9,572.938 1461.88,591.32 1466.85,609.36 1471.83,627.044 1476.81,644.361 1481.78,661.302 1486.76,677.862 1491.74,694.034 \n",
       "  1496.72,709.818 1501.69,725.212 1506.67,740.218 1511.65,754.836 1516.62,769.071 1521.6,782.926 1526.58,796.405 1531.55,809.516 1536.53,822.264 1541.51,834.655 \n",
       "  1546.49,846.698 1551.46,858.399 1556.44,869.766 1561.42,880.807 1566.39,891.53 1571.37,901.943 1576.35,912.055 1581.32,921.873 1586.3,931.407 1591.28,940.663 \n",
       "  1596.25,949.65 1601.23,958.376 1606.21,966.849 1611.19,975.076 1616.16,983.065 1621.14,990.823 1626.12,998.358 1631.09,1005.68 1636.07,1012.78 1641.05,1019.69 \n",
       "  1646.02,1026.4 1651,1032.91 1655.98,1039.25 1660.96,1045.4 1665.93,1051.39 1670.91,1057.2 1675.89,1062.86 1680.86,1068.35 1685.84,1073.7 1690.82,1078.9 \n",
       "  1695.79,1083.96 1700.77,1088.88 1705.75,1093.66 1710.73,1098.32 1715.7,1102.86 1720.68,1107.27 1725.66,1111.57 1730.63,1115.76 1735.61,1119.83 1740.59,1123.8 \n",
       "  1745.56,1127.67 1750.54,1131.44 1755.52,1135.11 1760.5,1138.69 1765.47,1142.18 1770.45,1145.58 1775.43,1148.9 1780.4,1152.13 1785.38,1155.28 1790.36,1158.36 \n",
       "  1795.33,1161.36 1800.31,1164.29 1805.29,1167.15 1810.27,1169.94 1815.24,1172.67 1820.22,1175.33 1825.2,1177.93 1830.17,1180.47 1835.15,1182.94 1840.13,1185.37 \n",
       "  1845.1,1187.73 1850.08,1190.04 1855.06,1192.3 1860.03,1194.51 1865.01,1196.67 1869.99,1198.78 1874.97,1200.85 1879.94,1202.87 1884.92,1204.84 1889.9,1206.78 \n",
       "  1894.87,1208.67 1899.85,1210.52 1904.83,1212.33 1909.8,1214.1 1914.78,1215.84 1919.76,1217.54 1924.74,1219.2 1929.71,1220.83 1934.69,1222.43 1939.67,1223.99 \n",
       "  1944.64,1225.52 1949.62,1227.02 1954.6,1228.49 1959.57,1229.93 1964.55,1231.35 1969.53,1232.73 1974.51,1234.09 1979.48,1235.42 1984.46,1236.72 1989.44,1238 \n",
       "  1994.41,1239.26 1999.39,1240.49 2004.37,1241.7 2009.34,1242.88 2014.32,1244.05 2019.3,1245.19 2024.28,1246.31 2029.25,1247.41 2034.23,1248.49 2039.21,1249.54 \n",
       "  2044.18,1250.58 2049.16,1251.61 2054.14,1252.61 2059.11,1253.59 2064.09,1254.56 2069.07,1255.51 2074.05,1256.45 2079.02,1257.36 2084,1258.26 2088.98,1259.15 \n",
       "  2093.95,1260.02 2098.93,1260.88 2103.91,1261.72 2108.88,1262.54 2113.86,1263.36 2118.84,1264.16 2123.81,1264.94 2128.79,1265.72 2133.77,1266.48 2138.75,1267.22 \n",
       "  2143.72,1267.96 2148.7,1268.68 2153.68,1269.39 2158.65,1270.09 2163.63,1270.78 2168.61,1271.46 2173.58,1272.13 2178.56,1272.78 2183.54,1273.43 2188.52,1274.07 \n",
       "  2193.49,1274.69 2198.47,1275.31 2203.45,1275.92 2208.42,1276.51 2213.4,1277.1 2218.38,1277.68 2223.35,1278.25 2228.33,1278.82 2233.31,1279.37 2238.29,1279.92 \n",
       "  2243.26,1280.45 2248.24,1280.98 2253.22,1281.5 2258.19,1282.02 2263.17,1282.53 2268.15,1283.02 2273.12,1283.52 2278.1,1284 2283.08,1284.48 2288.06,1284.95 \n",
       "  2293.03,1285.42 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1285.42 307.217,1284.78 312.194,1284.15 317.171,1283.51 322.148,1282.88 327.125,1282.24 332.102,1281.61 337.079,1280.97 342.056,1280.34 347.033,1279.7 \n",
       "  352.01,1279.07 356.987,1278.43 361.964,1277.8 366.941,1277.16 371.918,1276.53 376.895,1275.89 381.872,1275.26 386.849,1274.62 391.826,1273.99 396.803,1273.35 \n",
       "  401.78,1272.72 406.757,1272.08 411.734,1271.45 416.711,1270.81 421.688,1270.18 426.665,1269.54 431.642,1268.91 436.619,1268.27 441.596,1267.64 446.573,1267 \n",
       "  451.55,1266.37 456.527,1265.73 461.504,1265.1 466.481,1264.47 471.458,1263.83 476.434,1263.2 481.411,1262.56 486.388,1261.93 491.365,1261.29 496.342,1260.66 \n",
       "  501.319,1260.02 506.296,1258.74 511.273,1257.45 516.25,1256.17 521.227,1254.89 526.204,1253.6 531.181,1252.32 536.158,1251.03 541.135,1249.75 546.112,1248.47 \n",
       "  551.089,1247.18 556.066,1245.9 561.043,1244.62 566.02,1243.33 570.997,1242.05 575.974,1240.76 580.951,1239.48 585.928,1238.2 590.905,1236.91 595.882,1235.63 \n",
       "  600.859,1234.34 605.836,1233.06 610.813,1231.78 615.79,1230.49 620.767,1229.21 625.744,1227.93 630.721,1226.64 635.698,1225.36 640.675,1224.07 645.652,1222.79 \n",
       "  650.629,1221.51 655.606,1220.22 660.583,1218.94 665.56,1217.66 670.537,1216.37 675.514,1215.09 680.491,1213.8 685.468,1212.52 690.445,1211.24 695.422,1209.95 \n",
       "  700.399,1208.67 705.376,1205.55 710.353,1202.43 715.33,1199.32 720.306,1196.2 725.283,1193.08 730.26,1189.96 735.237,1186.84 740.214,1183.73 745.191,1180.61 \n",
       "  750.168,1177.49 755.145,1174.37 760.122,1171.26 765.099,1168.14 770.076,1165.02 775.053,1161.9 780.03,1158.78 785.007,1155.67 789.984,1152.55 794.961,1149.43 \n",
       "  799.938,1146.31 804.915,1143.19 809.892,1140.08 814.869,1136.96 819.846,1133.84 824.823,1130.72 829.8,1127.61 834.777,1124.49 839.754,1121.37 844.731,1118.25 \n",
       "  849.708,1115.13 854.685,1112.02 859.662,1108.9 864.639,1105.78 869.616,1102.66 874.593,1099.55 879.57,1096.43 884.547,1093.31 889.524,1090.19 894.501,1087.07 \n",
       "  899.478,1083.96 904.455,1074.6 909.432,1065.25 914.409,1055.9 919.386,1046.54 924.363,1037.19 929.34,1027.84 934.317,1018.48 939.294,1009.13 944.271,999.775 \n",
       "  949.248,990.422 954.225,981.068 959.202,971.715 964.179,962.361 969.155,953.008 974.132,943.654 979.109,934.301 984.086,924.947 989.063,915.594 994.04,906.241 \n",
       "  999.017,896.887 1003.99,887.534 1008.97,878.18 1013.95,868.827 1018.93,859.473 1023.9,850.12 1028.88,840.766 1033.86,831.413 1038.83,822.06 1043.81,812.706 \n",
       "  1048.79,803.353 1053.76,793.999 1058.74,784.646 1063.72,775.292 1068.7,765.939 1073.67,756.585 1078.65,747.232 1083.63,737.878 1088.6,728.525 1093.58,719.172 \n",
       "  1098.56,709.818 1103.53,694.229 1108.51,678.64 1113.49,663.051 1118.46,647.462 1123.44,631.873 1128.42,616.284 1133.4,600.695 1138.37,585.105 1143.35,569.516 \n",
       "  1148.33,553.927 1153.3,538.338 1158.28,522.749 1163.26,507.16 1168.23,491.571 1173.21,475.982 1178.19,460.393 1183.17,444.804 1188.14,429.215 1193.12,413.625 \n",
       "  1198.1,398.036 1203.07,382.447 1208.05,366.858 1213.03,351.269 1218,335.68 1222.98,320.091 1227.96,304.502 1232.94,288.913 1237.91,273.324 1242.89,257.735 \n",
       "  1247.87,242.146 1252.84,226.556 1257.82,210.967 1262.8,195.378 1267.77,179.789 1272.75,164.2 1277.73,148.611 1282.71,133.022 1287.68,117.433 1292.66,101.844 \n",
       "  1297.64,86.2547 1302.61,101.844 1307.59,117.433 1312.57,133.022 1317.54,148.611 1322.52,164.2 1327.5,179.789 1332.48,195.378 1337.45,210.967 1342.43,226.556 \n",
       "  1347.41,242.146 1352.38,257.735 1357.36,273.324 1362.34,288.913 1367.31,304.502 1372.29,320.091 1377.27,335.68 1382.24,351.269 1387.22,366.858 1392.2,382.447 \n",
       "  1397.18,398.036 1402.15,413.625 1407.13,429.215 1412.11,444.804 1417.08,460.393 1422.06,475.982 1427.04,491.571 1432.01,507.16 1436.99,522.749 1441.97,538.338 \n",
       "  1446.95,553.927 1451.92,569.516 1456.9,585.105 1461.88,600.695 1466.85,616.284 1471.83,631.873 1476.81,647.462 1481.78,663.051 1486.76,678.64 1491.74,694.229 \n",
       "  1496.72,709.818 1501.69,719.172 1506.67,728.525 1511.65,737.878 1516.62,747.232 1521.6,756.585 1526.58,765.939 1531.55,775.292 1536.53,784.646 1541.51,793.999 \n",
       "  1546.49,803.353 1551.46,812.706 1556.44,822.06 1561.42,831.413 1566.39,840.766 1571.37,850.12 1576.35,859.473 1581.32,868.827 1586.3,878.18 1591.28,887.534 \n",
       "  1596.25,896.887 1601.23,906.241 1606.21,915.594 1611.19,924.947 1616.16,934.301 1621.14,943.654 1626.12,953.008 1631.09,962.361 1636.07,971.715 1641.05,981.068 \n",
       "  1646.02,990.422 1651,999.775 1655.98,1009.13 1660.96,1018.48 1665.93,1027.84 1670.91,1037.19 1675.89,1046.54 1680.86,1055.9 1685.84,1065.25 1690.82,1074.6 \n",
       "  1695.79,1083.96 1700.77,1087.07 1705.75,1090.19 1710.73,1093.31 1715.7,1096.43 1720.68,1099.55 1725.66,1102.66 1730.63,1105.78 1735.61,1108.9 1740.59,1112.02 \n",
       "  1745.56,1115.13 1750.54,1118.25 1755.52,1121.37 1760.5,1124.49 1765.47,1127.61 1770.45,1130.72 1775.43,1133.84 1780.4,1136.96 1785.38,1140.08 1790.36,1143.19 \n",
       "  1795.33,1146.31 1800.31,1149.43 1805.29,1152.55 1810.27,1155.67 1815.24,1158.78 1820.22,1161.9 1825.2,1165.02 1830.17,1168.14 1835.15,1171.26 1840.13,1174.37 \n",
       "  1845.1,1177.49 1850.08,1180.61 1855.06,1183.73 1860.03,1186.84 1865.01,1189.96 1869.99,1193.08 1874.97,1196.2 1879.94,1199.32 1884.92,1202.43 1889.9,1205.55 \n",
       "  1894.87,1208.67 1899.85,1209.95 1904.83,1211.24 1909.8,1212.52 1914.78,1213.8 1919.76,1215.09 1924.74,1216.37 1929.71,1217.66 1934.69,1218.94 1939.67,1220.22 \n",
       "  1944.64,1221.51 1949.62,1222.79 1954.6,1224.07 1959.57,1225.36 1964.55,1226.64 1969.53,1227.93 1974.51,1229.21 1979.48,1230.49 1984.46,1231.78 1989.44,1233.06 \n",
       "  1994.41,1234.34 1999.39,1235.63 2004.37,1236.91 2009.34,1238.2 2014.32,1239.48 2019.3,1240.76 2024.28,1242.05 2029.25,1243.33 2034.23,1244.62 2039.21,1245.9 \n",
       "  2044.18,1247.18 2049.16,1248.47 2054.14,1249.75 2059.11,1251.03 2064.09,1252.32 2069.07,1253.6 2074.05,1254.89 2079.02,1256.17 2084,1257.45 2088.98,1258.74 \n",
       "  2093.95,1260.02 2098.93,1260.66 2103.91,1261.29 2108.88,1261.93 2113.86,1262.56 2118.84,1263.2 2123.81,1263.83 2128.79,1264.47 2133.77,1265.1 2138.75,1265.73 \n",
       "  2143.72,1266.37 2148.7,1267 2153.68,1267.64 2158.65,1268.27 2163.63,1268.91 2168.61,1269.54 2173.58,1270.18 2178.56,1270.81 2183.54,1271.45 2188.52,1272.08 \n",
       "  2193.49,1272.72 2198.47,1273.35 2203.45,1273.99 2208.42,1274.62 2213.4,1275.26 2218.38,1275.89 2223.35,1276.53 2228.33,1277.16 2233.31,1277.8 2238.29,1278.43 \n",
       "  2243.26,1279.07 2248.24,1279.7 2253.22,1280.34 2258.19,1280.97 2263.17,1281.61 2268.15,1282.24 2273.12,1282.88 2278.1,1283.51 2283.08,1284.15 2288.06,1284.78 \n",
       "  2293.03,1285.42 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1285.42 501.319,1260.02 700.399,1208.67 899.478,1083.96 1098.56,709.818 1297.64,86.2547 1496.72,709.818 1695.79,1083.96 1894.87,1208.67 2093.95,1260.02 \n",
       "  2293.03,1285.42 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"302.24\" cy=\"1285.42\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"501.319\" cy=\"1260.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"700.399\" cy=\"1208.67\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"899.478\" cy=\"1083.96\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"1098.56\" cy=\"709.818\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"1297.64\" cy=\"86.2547\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"1496.72\" cy=\"709.818\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"1695.79\" cy=\"1083.96\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"1894.87\" cy=\"1208.67\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"2093.95\" cy=\"1260.02\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<circle clip-path=\"url(#clip8702)\" cx=\"2293.03\" cy=\"1285.42\" r=\"14\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<polyline clip-path=\"url(#clip8702)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  302.24,1333.38 307.217,1333.55 312.194,1333.72 317.171,1333.87 322.148,1334.02 327.125,1334.17 332.102,1334.3 337.079,1334.43 342.056,1334.55 347.033,1334.66 \n",
       "  352.01,1334.77 356.987,1334.87 361.964,1334.95 366.941,1335.04 371.918,1335.11 376.895,1335.17 381.872,1335.23 386.849,1335.27 391.826,1335.31 396.803,1335.34 \n",
       "  401.78,1335.36 406.757,1335.37 411.734,1335.36 416.711,1335.35 421.688,1335.33 426.665,1335.3 431.642,1335.26 436.619,1335.2 441.596,1335.14 446.573,1335.06 \n",
       "  451.55,1334.97 456.527,1334.87 461.504,1334.76 466.481,1334.63 471.458,1334.49 476.434,1334.34 481.411,1334.18 486.388,1334 491.365,1333.81 496.342,1333.6 \n",
       "  501.319,1333.38 506.296,1333.79 511.273,1334.19 516.25,1334.58 521.227,1334.94 526.204,1335.29 531.181,1335.62 536.158,1335.94 541.135,1336.24 546.112,1336.52 \n",
       "  551.089,1336.78 556.066,1337.03 561.043,1337.25 566.02,1337.46 570.997,1337.64 575.974,1337.8 580.951,1337.95 585.928,1338.07 590.905,1338.17 595.882,1338.24 \n",
       "  600.859,1338.3 605.836,1338.32 610.813,1338.33 615.79,1338.31 620.767,1338.26 625.744,1338.19 630.721,1338.09 635.698,1337.96 640.675,1337.8 645.652,1337.61 \n",
       "  650.629,1337.4 655.606,1337.15 660.583,1336.87 665.56,1336.56 670.537,1336.21 675.514,1335.83 680.491,1335.42 685.468,1334.96 690.445,1334.48 695.422,1333.95 \n",
       "  700.399,1333.38 705.376,1334.61 710.353,1335.79 715.33,1336.94 720.306,1338.03 725.283,1339.09 730.26,1340.09 735.237,1341.05 740.214,1341.96 745.191,1342.82 \n",
       "  750.168,1343.62 755.145,1344.37 760.122,1345.07 765.099,1345.71 770.076,1346.29 775.053,1346.81 780.03,1347.27 785.007,1347.66 789.984,1347.99 794.961,1348.25 \n",
       "  799.938,1348.43 804.915,1348.55 809.892,1348.59 814.869,1348.55 819.846,1348.44 824.823,1348.24 829.8,1347.95 834.777,1347.58 839.754,1347.12 844.731,1346.57 \n",
       "  849.708,1345.92 854.685,1345.17 859.662,1344.32 864.639,1343.36 869.616,1342.29 874.593,1341.11 879.57,1339.81 884.547,1338.4 889.524,1336.85 894.501,1335.18 \n",
       "  899.478,1333.38 904.455,1337.68 909.432,1341.83 914.409,1345.84 919.386,1349.69 924.363,1353.39 929.34,1356.93 934.317,1360.3 939.294,1363.5 944.271,1366.52 \n",
       "  949.248,1369.36 954.225,1372 959.202,1374.45 964.179,1376.7 969.155,1378.73 974.132,1380.55 979.109,1382.15 984.086,1383.51 989.063,1384.64 994.04,1385.52 \n",
       "  999.017,1386.14 1003.99,1386.51 1008.97,1386.61 1013.95,1386.43 1018.93,1385.96 1023.9,1385.2 1028.88,1384.14 1033.86,1382.78 1038.83,1381.09 1043.81,1379.07 \n",
       "  1048.79,1376.73 1053.76,1374.04 1058.74,1371 1063.72,1367.61 1068.7,1363.85 1073.67,1359.72 1078.65,1355.22 1083.63,1350.34 1088.6,1345.07 1093.58,1339.42 \n",
       "  1098.56,1333.38 1103.53,1333.19 1108.51,1332.6 1113.49,1331.63 1118.46,1330.28 1123.44,1328.55 1128.42,1326.46 1133.4,1324.01 1138.37,1321.21 1143.35,1318.1 \n",
       "  1148.33,1314.67 1153.3,1310.97 1158.28,1307.02 1163.26,1302.84 1168.23,1298.48 1173.21,1293.97 1178.19,1289.37 1183.17,1284.71 1188.14,1280.06 1193.12,1275.48 \n",
       "  1198.1,1271.03 1203.07,1266.77 1208.05,1262.79 1213.03,1259.17 1218,1255.97 1222.98,1253.3 1227.96,1251.24 1232.94,1249.87 1237.91,1249.29 1242.89,1249.58 \n",
       "  1247.87,1250.85 1252.84,1253.17 1257.82,1256.64 1262.8,1261.32 1267.77,1267.29 1272.75,1274.62 1277.73,1283.37 1282.71,1293.59 1287.68,1305.31 1292.66,1318.57 \n",
       "  1297.64,1333.38 1302.61,1318.57 1307.59,1305.31 1312.57,1293.59 1317.54,1283.37 1322.52,1274.62 1327.5,1267.29 1332.48,1261.32 1337.45,1256.64 1342.43,1253.17 \n",
       "  1347.41,1250.85 1352.38,1249.58 1357.36,1249.29 1362.34,1249.87 1367.31,1251.24 1372.29,1253.3 1377.27,1255.97 1382.24,1259.17 1387.22,1262.79 1392.2,1266.77 \n",
       "  1397.18,1271.03 1402.15,1275.48 1407.13,1280.06 1412.11,1284.71 1417.08,1289.37 1422.06,1293.97 1427.04,1298.48 1432.01,1302.84 1436.99,1307.02 1441.97,1310.97 \n",
       "  1446.95,1314.67 1451.92,1318.1 1456.9,1321.21 1461.88,1324.01 1466.85,1326.46 1471.83,1328.55 1476.81,1330.28 1481.78,1331.63 1486.76,1332.6 1491.74,1333.19 \n",
       "  1496.72,1333.38 1501.69,1339.42 1506.67,1345.07 1511.65,1350.34 1516.62,1355.22 1521.6,1359.72 1526.58,1363.85 1531.55,1367.61 1536.53,1371 1541.51,1374.04 \n",
       "  1546.49,1376.73 1551.46,1379.07 1556.44,1381.09 1561.42,1382.78 1566.39,1384.14 1571.37,1385.2 1576.35,1385.96 1581.32,1386.43 1586.3,1386.61 1591.28,1386.51 \n",
       "  1596.25,1386.14 1601.23,1385.52 1606.21,1384.64 1611.19,1383.51 1616.16,1382.15 1621.14,1380.55 1626.12,1378.73 1631.09,1376.7 1636.07,1374.45 1641.05,1372 \n",
       "  1646.02,1369.36 1651,1366.52 1655.98,1363.5 1660.96,1360.3 1665.93,1356.93 1670.91,1353.39 1675.89,1349.69 1680.86,1345.84 1685.84,1341.83 1690.82,1337.68 \n",
       "  1695.79,1333.38 1700.77,1335.18 1705.75,1336.85 1710.73,1338.4 1715.7,1339.81 1720.68,1341.11 1725.66,1342.29 1730.63,1343.36 1735.61,1344.32 1740.59,1345.17 \n",
       "  1745.56,1345.92 1750.54,1346.57 1755.52,1347.12 1760.5,1347.58 1765.47,1347.95 1770.45,1348.24 1775.43,1348.44 1780.4,1348.55 1785.38,1348.59 1790.36,1348.55 \n",
       "  1795.33,1348.43 1800.31,1348.25 1805.29,1347.99 1810.27,1347.66 1815.24,1347.27 1820.22,1346.81 1825.2,1346.29 1830.17,1345.71 1835.15,1345.07 1840.13,1344.37 \n",
       "  1845.1,1343.62 1850.08,1342.82 1855.06,1341.96 1860.03,1341.05 1865.01,1340.09 1869.99,1339.09 1874.97,1338.03 1879.94,1336.94 1884.92,1335.79 1889.9,1334.61 \n",
       "  1894.87,1333.38 1899.85,1333.95 1904.83,1334.48 1909.8,1334.96 1914.78,1335.42 1919.76,1335.83 1924.74,1336.21 1929.71,1336.56 1934.69,1336.87 1939.67,1337.15 \n",
       "  1944.64,1337.4 1949.62,1337.61 1954.6,1337.8 1959.57,1337.96 1964.55,1338.09 1969.53,1338.19 1974.51,1338.26 1979.48,1338.31 1984.46,1338.33 1989.44,1338.32 \n",
       "  1994.41,1338.3 1999.39,1338.24 2004.37,1338.17 2009.34,1338.07 2014.32,1337.95 2019.3,1337.8 2024.28,1337.64 2029.25,1337.46 2034.23,1337.25 2039.21,1337.03 \n",
       "  2044.18,1336.78 2049.16,1336.52 2054.14,1336.24 2059.11,1335.94 2064.09,1335.62 2069.07,1335.29 2074.05,1334.94 2079.02,1334.58 2084,1334.19 2088.98,1333.79 \n",
       "  2093.95,1333.38 2098.93,1333.6 2103.91,1333.81 2108.88,1334 2113.86,1334.18 2118.84,1334.34 2123.81,1334.49 2128.79,1334.63 2133.77,1334.76 2138.75,1334.87 \n",
       "  2143.72,1334.97 2148.7,1335.06 2153.68,1335.14 2158.65,1335.2 2163.63,1335.26 2168.61,1335.3 2173.58,1335.33 2178.56,1335.35 2183.54,1335.36 2188.52,1335.37 \n",
       "  2193.49,1335.36 2198.47,1335.34 2203.45,1335.31 2208.42,1335.27 2213.4,1335.23 2218.38,1335.17 2223.35,1335.11 2228.33,1335.04 2233.31,1334.95 2238.29,1334.87 \n",
       "  2243.26,1334.77 2248.24,1334.66 2253.22,1334.55 2258.19,1334.43 2263.17,1334.3 2268.15,1334.17 2273.12,1334.02 2278.1,1333.87 2283.08,1333.72 2288.06,1333.55 \n",
       "  2293.03,1333.38 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip8700)\" d=\"\n",
       "M1425.46 433.164 L2280.76 433.164 L2280.76 130.764 L1425.46 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1425.46,433.164 2280.76,433.164 2280.76,130.764 1425.46,130.764 1425.46,433.164 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#009af9; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,191.244 1593.46,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 208.744)\" x=\"1617.46\" y=\"208.744\">Original function</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#e26f46; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,251.724 1593.46,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 269.224)\" x=\"1617.46\" y=\"269.224\">Polynomial interpolation 3 sp</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#3da44d; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,312.204 1593.46,312.204 \n",
       "  \"/>\n",
       "<circle clip-path=\"url(#clip8700)\" cx=\"1533.46\" cy=\"312.204\" r=\"21\" fill=\"#3da44d\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 329.704)\" x=\"1617.46\" y=\"329.704\">Points</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8700)\" style=\"stroke:#c271d2; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  1449.46,372.684 1593.46,372.684 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8700)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1617.46, 390.184)\" x=\"1617.46\" y=\"390.184\">Err</text>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Plot{Plots.GRBackend() n=4}"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "println(maximum(abs.(yy_ori .- yy_int)))\n",
    "Plots.plot!(xx, yy_ori .- yy_int, xlabel=\"x\", ylabel=\"y\",lw=2,label=\"Err\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 插值积分公式\n",
    "### 积分公式推导\n",
    "\n",
    "对分段线性插值函数进行积分，就是对原函数采用步长为$h=\\frac{b-a}{n}=\\frac{2}{10}=0.2$的复化梯形公式求积分。所以根据复化梯形公式，设$h=0.2$表示每个分段的区间长度，插值积分公式为：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "T_n &= \\frac{h}{2}\\left[ f(x_0) + 2\\sum_{k=1}^{n-1}f(x_k) + f(x_n) \\right]\n",
    "\\\\\n",
    "&= \\frac{1}{10}\\left[ f(-1) + 2\\sum_{k=1}^{9}f(-1+\\frac{k}{5}) + f(1) \\right]\n",
    "\\end{aligned}\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 积分余项\n",
    "\n",
    "积分余项为：\n",
    "\n",
    "$$I-I_{10,sp}=-\\frac{b-a}{12}h^2f''(\\eta) = -\\frac{1}{6} \\times \\frac{1}{25} f''(\\eta) = -\\frac{1}{150}f''(\\eta)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 收敛阶\n",
    "\n",
    "由于积分余项形式为\n",
    "\n",
    "$$I-I_{10,sp}=-\\frac{1}{6}h^2f''(\\eta)$$\n",
    "\n",
    "所以有：\n",
    "\n",
    "$$\\lim_{h\\rightarrow0}{\\frac{I-I_{10,sp}}{h^2}}=C,(C\\ne0)$$\n",
    "\n",
    "所以可知此分段线性插值积分公式是$2$阶收敛的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 积分计算与误差估计\n",
    "\n",
    "利用$n=10$的分段线性插值积分公式，计算函数$f(x)=\\frac{1}{1+25x^2}$的积分值，则有：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "I_2=\\int_{-1}^1{\\frac{1}{1+25x^2}\\mathrm{d}x} &\\approx \\frac{h}{2}\\left[ f(x_0) + 2\\sum_{k=1}^{n-1}f(x_k) + f(x_n) \\right]=0.5512217194570136\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "与精确积分值$I=\\int_{-1}^{1}{f(x)\\mathrm{d}x}=\\frac{2}{5}\\mathrm{a}\\tan 5=0.5493603067780064$比较，则得到积分的误差为：\n",
    "\n",
    "$$R=I-I_{10,sp}=-0.0018614126790071905$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5512217194570136\n",
      "-0.0018614126790071905\n"
     ]
    }
   ],
   "source": [
    "xo = -1.0:0.2:1.0\n",
    "n = 10\n",
    "s = HwMath.m_f(xo[1]) + HwMath.m_f(xo[end])\n",
    "s += 2*sum(HwMath.m_f(xo[2:end-1]))\n",
    "s *= (xo[end]-xo[1])/n/2\n",
    "println(s)\n",
    "println(0.5493603067780064-s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 复化Gauss型积分\n",
    "## 积分公式推导\n",
    "\n",
    "设$x_k=-1+0.2k,k=0,1,2,...10$，这11个节点将区间$[-1,1]$分为$n=10$个区间，每个区间的长度为$h=\\frac{2}{n}=0.2$，在区间$[x_{k},x_{k+1}]=[-1+0.2k,-1+0.2(k+1)]$上，通过线性变换\n",
    "\n",
    "$$\n",
    "x=\\frac{x_{k+1}-x_{k}}{2}t+\\frac{x_{k+1}+x_{k}}{2}=0.1t+\\frac{-1+0.2k-1+0.2(k+1)}{2}=0.1t+0.2k-0.9\n",
    "$$\n",
    "\n",
    "可以将$x\\in[0.2k-1,0.2k-0.8]$映射到$t\\in[-1,1]$，则在此小区间上的积分可以写为：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{x_k}^{x_{k+1}}{f(x)\\mathrm{d}x} = 0.1\\int_{-1}^{1}f{(0.1t+0.2k-0.9)\\mathrm{d}t} \\triangleq 0.1\\int_{-1}^{1}{g_k(t)\\mathrm{d}t}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "为了确定两点Gauss型公式的Gauss点，根据Legendre正交多项式$P_2(x)=\\frac{1}{2}(3x^2-1)$，取其零点为Gauss点$x_{0,1}=\\pm \\frac{1}{\\sqrt{3}}$，对应的系数可确定为$A_0=A_1=1$，则有：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{x_k}^{x_{k+1}}{f(x)\\mathrm{d}x} &= 0.1\\int_{-1}^{1}{g_k(t)\\mathrm{d}t}\n",
    "\\\\\n",
    "&\\approx 0.1\\left[ g_k\\left(-\\frac{1}{\\sqrt{3}}\\right) + g_k\\left(\\frac{1}{\\sqrt{3}}\\right) \\right]\n",
    "\\\\\n",
    "&=0.1\\left[ f\\left( -\\frac{1}{10\\sqrt{3}} + 0.2k-0.9 \\right) + f\\left( \\frac{1}{10\\sqrt{3}} + 0.2k-0.9 \\right) \\right]\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "所以在$[-1,1]$上的总积分值可以表示为：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\int_{-1}^{1}{f(x)\\mathrm{d}x} &= \\sum_{k=0}^{9}{ \\int_{x_k}^{x_{k+1}}{f(x)\\mathrm{d}x} }\n",
    "\\\\\n",
    "&=\\sum_{k=0}^{9}{ 0.1\\int_{-1}^{1}{g_k(t)\\mathrm{d}t} }\n",
    "\\\\\n",
    "&\\approx 0.1\\sum_{k=0}^{9}{ \\left[ g_k\\left(-\\frac{1}{\\sqrt{3}}\\right) + g_k\\left(\\frac{1}{\\sqrt{3}}\\right) \\right] }\n",
    "\\\\\n",
    "&=0.1\\sum_{k=0}^{9}{ \\left[ f\\left( -\\frac{1}{10\\sqrt{3}} + 0.2k-0.9 \\right) + f\\left( \\frac{1}{10\\sqrt{3}} + 0.2k-0.9 \\right) \\right] }\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 积分余项和收敛阶\n",
    "\n",
    "对小区间$[x_{k},x_{k+1}]=[-1+0.2k,-1+0.2(k+1)]$上，有\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\omega_{g_k}^2(t) &= \\left(t+\\frac{1}{\\sqrt{3}}\\right)^2\\left(t-\\frac{1}{\\sqrt{3}}\\right)^2 =\\left( t^2 - \\frac{1}{3} \\right)^2 = t^4 - \\frac{2}{3}t^2 + \\frac{1}{9}\n",
    "\\\\\n",
    "\\int_{-1}^{1}{\\omega_{g_k}^2(t)\\mathrm{d}t} &= \\frac{2}{5} - \\frac{2}{3}\\times \\frac{2}{3} + \\frac{2}{9} = \\frac{8}{45}\n",
    "\\\\\n",
    "R_{g,k} &= \\int_{-1}^{1}{g_k(t)\\mathrm{d}t} - \\left[ g_k\\left(-\\frac{1}{\\sqrt{3}}\\right) + g_k\\left(\\frac{1}{\\sqrt{3}}\\right) \\right]\n",
    "=\\frac{g_k^{(4)}(\\xi_{g_k})}{4!}\\int_{-1}^{1}{\\omega_{g_k}^2(t)\\mathrm{d}t} \n",
    "\\\\\n",
    "&=\\frac{8}{45}\\frac{g_k^{(4)}(\\xi_{g_k})}{4!}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "于是有：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "R_g = \\sum_{k=0}^{9}{R_{g,k}} = \\frac{8}{45\\times 4!}\\sum_{k=0}^{9}{g_k^{(4)}(\\xi_{g_k})}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "又因为:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "g_k^{(4)}(\\xi_{g_k})(-1 \\leqslant \\xi_{g_k} \\leqslant 1) &= f^{(4)}(0.1\\xi_{g_k} + 0.2k - 0.9)\\\\\n",
    "&= f^{(4)}(\\xi_{f_k})(x_k \\leqslant \\xi_{f_k} \\leqslant x_{k+1})\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "所以\n",
    "$$\n",
    "\\begin{aligned}\n",
    "R_x = 0.1R_g &= \\frac{0.1\\times 8}{45\\times 4!}\\sum_{k=0}^{9}{g_k^{(4)}(\\xi_{g_k})}\\\\\n",
    "&=\\frac{0.1\\times 8}{45\\times 4!}\\sum_{k=0}^{9}{f^{(4)}(\\xi_{f_k})},(x_k \\leqslant \\xi_{f_k} \\leqslant x_{k+1})\\\\\n",
    "&=\\frac{0.1\\times 8\\times 10}{45\\times 4!}f^{(4)}(\\eta_f)\\\\\n",
    "&=\\frac{1}{135}f^{(4)}(\\eta_f),(-1 \\leqslant \\eta_f \\leqslant 1)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "显然**收敛阶**为$4$阶"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 积分计算和误差估计\n",
    "\n",
    "根据推导的复化Gauss积分公式，对$f(x)=\\frac{1}{1+25x^2}$可以求出其数值积分为：\n",
    "\n",
    "$$\n",
    "\\int_{-1}^{1}{\\frac{1}{1+25x^2}\\mathrm{d}x} \\approx 0.5468547274162592 = I_{10,Gauss}\n",
    "$$\n",
    "\n",
    "与其精确解$\\int_{-1}^{1}{\\frac{1}{1+25x^2}\\mathrm{d}x} = 0.4\\mathrm{a}\\tan{5} = 0.5493603067780064$相比，误差仅有：\n",
    "\n",
    "$$\n",
    "R = 0.4\\mathrm{a}\\tan{5} - I_{10,Gauss} =  0.5493603067780064 - 0.5468547274162592 = 0.0025055793617472\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5468547274162592\n",
      "0.5493603067780064\n",
      "0.0025055793617472233\n"
     ]
    }
   ],
   "source": [
    "s = 0\n",
    "for k in 1:1:10\n",
    "    s += HwMath.m_f(0.2*k - 0.9 - 1/10/sqrt(3)) + HwMath.m_f(0.2*k - 0.9 + 1/10/sqrt(3))\n",
    "end\n",
    "s *= 0.1\n",
    "println(s)\n",
    "println(0.4*atan(5))\n",
    "println(0.4*atan(5) - s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 算法分析和比较\n",
    "## 插值近似函数比较\n",
    "\n",
    "假设分析计算量不考虑任何对公式的化简，且计算量指计算函数值得计算量，不考虑推导公式过程的计算量，有以下分析：\n",
    "\n",
    "| 差值公式 | 插值最大绝对值误差 | 加减法计算量 | 乘法计算量 | 除法计算量 |\n",
    "| --- | --- | --- | --- | --- |\n",
    "| 等距节点多项式插值(n=10) | 1.916 | $10+20\\times 11=230$ | $19\\times 11=209$ | $11$ |\n",
    "| 切比雪夫节点多项式插值(n=10) | 0.109 | $10+20\\times 11=230$ | $19\\times 11=209$ | $11$ |\n",
    "| 分段线性插值(h=0.2,n=10) | 0.067 | $6$ | $2$ | $2$ |\n",
    "\n",
    "可见，对于插值算法而言，同为$n=10$次多项式插值的等距节点法和切比雪夫节点法计算量相当，在应对龙格现象较为显著的函数时，误差均较大，但切比雪夫节点多项式法也要比等距节点多项式法的误差要小得多，两者计算量持平。而使用相同步长分段线性插值方法，不仅计算量减小很多，误差却比切比雪夫节点的多项式法还要小，可见在此例中，分段线性插值方法，在对函数进行插值近似时的效果最好，计算量最小。\n",
    "\n",
    "一般来说，高次等距插值多项式无法使用，因为一般都会存在龙格现象，可以通过更改节点位置、间距等缓解这一问题；而分段线性插值的适用性会更广，在分段足够多的情况下，精度和稳定性能够得到一定的保障。\n",
    "\n",
    "## 积分公式比较\n",
    "\n",
    "假设分析计算量不考虑任何对公式的化简，且计算量指计算函数值得计算量，不考虑推导公式过程的计算量，有以下分析：\n",
    "\n",
    "| 积分公式 | 积分误差 | 加减法计算量 | 乘法计算量 | 除法计算量 | 求函数值次数 |\n",
    "| --- | --- | --- | --- | --- | --- |\n",
    "| 等距节点多项式插值积分公式(n=10) |-0.3853 | 10 | 12 | 1 | 11 |\n",
    "| 切比雪夫节点多项式插值积分公式(n=10) | -0.1610  | 10 | 12 | 1 | 11 |\n",
    "| 切比雪夫节点多项式插值积分公式(n=0) | -1.4506 | 0 | 2 | 1 | 1 |\n",
    "| 切比雪夫节点多项式插值积分公式(n=1) | 0.4012 | 1 | 3 | 1 | 2 |\n",
    "| 切比雪夫节点多项式插值积分公式(n=2) | -0.6068 | 2 | 4 | 1 | 3 |\n",
    "| 分段插值积分(复化梯形)(h=0.2,n=10) |-0.00186 \n",
    "| 复化两点Gauss积分(h=0.2,n=10) |0.00251"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.6.2",
   "language": "julia",
   "name": "julia-1.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.6.2"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
